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Expresiones idénticas
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Expresiones semejantes
- cos(x)+cos(2*x)-cos(3*x)=3
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- cosx+cos(2*x)+cos(3*x)=3
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Expresiones con funciones
- Coseno cos
- cos(3*x)-cos(7x)=0
- cos(x)=cos(4)
- cos^2(x)=0.1*e^x
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- Coseno cos
- cos(3*x)-cos(7x)=0
- cos(x)=cos(4)
- cos^2(x)=0.1*e^x
- cos(x)*sin(x)=-1/2
- cos12x+cos4x=0
- Coseno cos
- cos(3*x)-cos(7x)=0
- cos(x)=cos(4)
- cos^2(x)=0.1*e^x
- cos(x)*sin(x)=-1/2
- cos12x+cos4x=0
cos(x)+cos(2*x)+cos(3*x)=3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
cos(x) + cos(2*x) + cos(3*x) = 3
$$\left(\cos{\left(x \right)} + \cos{\left(2 x \right)}\right) + \cos{\left(3 x \right)} = 3$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
/ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\
| / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\
| / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||
| / ________________ |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| ________________ |atan|-------|| |atan|-------|| | | |atan|-------|||
| / ________________ ________________ 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ | \ 7 /| ___ 4 ___ | \ 7 /| 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||
| / ___ / ___ ____ / ___ \/ 7 *\/ -7 + 3*I*\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| 3*\/ 2 *\/ 7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 7 *\/ -7 + 3*I*\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| | |- \/ 7 - 2*\/ 2 *\/ 7 *cos|-------------||
| / 3*\/ 2 *\/ -7 + 3*I*\/ 7 I*\/ 14 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /|
x2 = -pi - I*log| / 1 + --------------------------- - ---------------------------- + -------------------------------------------- + ----------------------------- + -------------------------------- - ---------------------------------- - ---------------------------------------------- + ------------------------------- | + atan|------------------------------------------|
\\/ 16 16 4 8 8 8 4 8 / | / / ___\\ |
| | |3*\/ 7 || |
| |atan|-------|| |
| ___ 4 ___ | \ 7 /| |
| -3 - 2*\/ 2 *\/ 7 *sin|-------------| |
\ \ 2 / /
$$x_{2} = - \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} - \sqrt{7}}{-3 - 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt[4]{7} i \sqrt{-7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{14} i \sqrt{-7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt[4]{7} \sqrt{-7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt{-7 + 3 \sqrt{7} i}}{16}} \right)}$$
/ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\
| / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\
| / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||
| / |atan|-------|| |atan|-------|| ________________ |atan|-------|| ________________ |atan|-------|| |atan|-------|| |atan|-------|| | | |atan|-------|||
| / ________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| 4 ___ / ___ | \ 7 /| ________________ 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||
| / ___ / ___ 3*\/ 2 *\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| \/ 7 *\/ -7 + 3*I*\/ 7 *sin|-------------| ____ / ___ I*\/ 7 *\/ -7 + 3*I*\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| | |- \/ 7 + 2*\/ 2 *\/ 7 *cos|-------------||
| / 3*\/ 2 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / I*\/ 14 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / | | \ 2 /|
x3 = pi - I*log| / 1 - --------------------------- - -------------------------------- - ----------------------------- + -------------------------------------------- + ---------------------------- - ---------------------------------------------- - ------------------------------- + ---------------------------------- | + atan|------------------------------------------|
\\/ 16 8 8 4 16 4 8 8 / | / / ___\\ |
| | |3*\/ 7 || |
| |atan|-------|| |
| ___ 4 ___ | \ 7 /| |
| -3 + 2*\/ 2 *\/ 7 *sin|-------------| |
\ \ 2 / /
$$x_{3} = \operatorname{atan}{\left(\frac{- \sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{-3 + 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \pi - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt{-7 + 3 \sqrt{7} i}}{16} - \frac{\sqrt[4]{7} i \sqrt{-7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{14} i \sqrt{-7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt[4]{7} \sqrt{-7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)}$$
/ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\
| / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\
| / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||
| / |atan|-------|| |atan|-------|| |atan|-------|| _________________ |atan|-------|| |atan|-------|| _________________ |atan|-------|| | | |atan|-------|||
| / _________________ ___ 3/4 | \ 7 /| _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ / ___ | \ 7 /| ___ 4 ___ | \ 7 /| ___ 4 ___ / ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||
| / / ___ \/ 2 *7 *cos|-------------| ___ / ___ 3*\/ 2 *\/ 7 *sin|-------------| I*\/ 2 *7 *sin|-------------| \/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *cos|-------------| | |\/ 7 + 2*\/ 2 *\/ 7 *cos|-------------||
| / 3*\/ -14 - 6*I*\/ 7 \ 2 / I*\/ 7 *\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /|
x4 = pi - I*log| / 1 + ---------------------- + ----------------------------- + ---------------------------- + -------------------------------- - ------------------------------- + --------------------------------------------------- + ---------------------------------- + ----------------------------------------------------- | + atan|----------------------------------------|
\\/ 16 8 16 8 8 8 8 8 / | / / ___\\ |
| | |3*\/ 7 || |
| |atan|-------|| |
| ___ 4 ___ | \ 7 /| |
| -3 - 2*\/ 2 *\/ 7 *sin|-------------| |
\ \ 2 / /
$$x_{4} = \operatorname{atan}{\left(\frac{\sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{-3 - 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \pi - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 + \frac{3 \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \sqrt[4]{7} \sqrt{-14 - 6 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{7} i \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \sqrt[4]{7} i \sqrt{-14 - 6 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)}$$
/ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\
| / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\
| / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||
| / |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| _________________ |atan|-------|| _________________ |atan|-------|| | | |atan|-------|||
| / _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ / ___ | \ 7 /| ___ 4 ___ / ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||
| / / ___ 3*\/ 2 *\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| ___ / ___ 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| \/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *sin|-------------| I*\/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *cos|-------------| | |\/ 7 - 2*\/ 2 *\/ 7 *cos|-------------||
| / 3*\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / I*\/ 7 *\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /|
x5 = -pi - I*log| / 1 - ---------------------- - -------------------------------- - ----------------------------- - ---------------------------- - ---------------------------------- + ------------------------------- + --------------------------------------------------- + ----------------------------------------------------- | + atan|----------------------------------------|
\\/ 16 8 8 16 8 8 8 8 / | / / ___\\ |
| | |3*\/ 7 || |
| |atan|-------|| |
| ___ 4 ___ | \ 7 /| |
| -3 + 2*\/ 2 *\/ 7 *sin|-------------| |
\ \ 2 / /
$$x_{5} = - \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + \sqrt{7}}{-3 + 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \sqrt[4]{7} \sqrt{-14 - 6 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{7} i \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \sqrt[4]{7} i \sqrt{-14 - 6 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{-14 - 6 \sqrt{7} i}}{16}} \right)}$$
x5 = -pi + atan((-2*sqrt(2)*7^(1/4)*cos(atan(3*sqrt(7)/7)/2) + sqrt(7))/(-3 + 2*sqrt(2)*7^(1/4)*sin(atan(3*sqrt(7)/7)/2))) - i*log(sqrt(-sqrt(2)*7^(3/4)*cos(atan(3*sqrt(7)/7)/2)/8 - 3*sqrt(2)*7^(1/4)*sin(atan(3*sqrt(7)/7)/2)/8 + 1 - 3*sqrt(2)*7^(1/4)*i*cos(atan(3*sqrt(7)/7)/2)/8 + sqrt(2)*7^(1/4)*sqrt(-14 - 6*sqrt(7)*i)*sin(atan(3*sqrt(7)/7)/2)/8 - sqrt(7)*i*sqrt(-14 - 6*sqrt(7)*i)/16 + sqrt(2)*7^(3/4)*i*sin(atan(3*sqrt(7)/7)/2)/8 + sqrt(2)*7^(1/4)*i*sqrt(-14 - 6*sqrt(7)*i)*cos(atan(3*sqrt(7)/7)/2)/8 - 3*sqrt(-14 - 6*sqrt(7)*i)/16))
Suma y producto de raíces
[src]
suma
/ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\
| / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\ | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\ | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\ | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\
| / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 ||| | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 ||| | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 ||| | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||
| / ________________ |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| ________________ |atan|-------|| |atan|-------|| | | |atan|-------||| | / |atan|-------|| |atan|-------|| ________________ |atan|-------|| ________________ |atan|-------|| |atan|-------|| |atan|-------|| | | |atan|-------||| | / |atan|-------|| |atan|-------|| |atan|-------|| _________________ |atan|-------|| |atan|-------|| _________________ |atan|-------|| | | |atan|-------||| | / |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| _________________ |atan|-------|| _________________ |atan|-------|| | | |atan|-------|||
| / ________________ ________________ 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ | \ 7 /| ___ 4 ___ | \ 7 /| 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| | | ___ ___ 4 ___ | \ 7 /|| | / ________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| 4 ___ / ___ | \ 7 /| ________________ 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /|| | / _________________ ___ 3/4 | \ 7 /| _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ / ___ | \ 7 /| ___ 4 ___ | \ 7 /| ___ 4 ___ / ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /|| | / _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ / ___ | \ 7 /| ___ 4 ___ / ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||
| / ___ / ___ ____ / ___ \/ 7 *\/ -7 + 3*I*\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| 3*\/ 2 *\/ 7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 7 *\/ -7 + 3*I*\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| | |- \/ 7 - 2*\/ 2 *\/ 7 *cos|-------------|| | / ___ / ___ 3*\/ 2 *\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| \/ 7 *\/ -7 + 3*I*\/ 7 *sin|-------------| ____ / ___ I*\/ 7 *\/ -7 + 3*I*\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| | |- \/ 7 + 2*\/ 2 *\/ 7 *cos|-------------|| | / / ___ \/ 2 *7 *cos|-------------| ___ / ___ 3*\/ 2 *\/ 7 *sin|-------------| I*\/ 2 *7 *sin|-------------| \/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *cos|-------------| | |\/ 7 + 2*\/ 2 *\/ 7 *cos|-------------|| | / / ___ 3*\/ 2 *\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| ___ / ___ 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| \/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *sin|-------------| I*\/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *cos|-------------| | |\/ 7 - 2*\/ 2 *\/ 7 *cos|-------------||
| / 3*\/ 2 *\/ -7 + 3*I*\/ 7 I*\/ 14 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /| | / 3*\/ 2 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / I*\/ 14 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / | | \ 2 /| | / 3*\/ -14 - 6*I*\/ 7 \ 2 / I*\/ 7 *\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /| | / 3*\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / I*\/ 7 *\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /|
-pi - I*log| / 1 + --------------------------- - ---------------------------- + -------------------------------------------- + ----------------------------- + -------------------------------- - ---------------------------------- - ---------------------------------------------- + ------------------------------- | + atan|------------------------------------------| + pi - I*log| / 1 - --------------------------- - -------------------------------- - ----------------------------- + -------------------------------------------- + ---------------------------- - ---------------------------------------------- - ------------------------------- + ---------------------------------- | + atan|------------------------------------------| + pi - I*log| / 1 + ---------------------- + ----------------------------- + ---------------------------- + -------------------------------- - ------------------------------- + --------------------------------------------------- + ---------------------------------- + ----------------------------------------------------- | + atan|----------------------------------------| + -pi - I*log| / 1 - ---------------------- - -------------------------------- - ----------------------------- - ---------------------------- - ---------------------------------- + ------------------------------- + --------------------------------------------------- + ----------------------------------------------------- | + atan|----------------------------------------|
\\/ 16 16 4 8 8 8 4 8 / | / / ___\\ | \\/ 16 8 8 4 16 4 8 8 / | / / ___\\ | \\/ 16 8 16 8 8 8 8 8 / | / / ___\\ | \\/ 16 8 8 16 8 8 8 8 / | / / ___\\ |
| | |3*\/ 7 || | | | |3*\/ 7 || | | | |3*\/ 7 || | | | |3*\/ 7 || |
| |atan|-------|| | | |atan|-------|| | | |atan|-------|| | | |atan|-------|| |
| ___ 4 ___ | \ 7 /| | | ___ 4 ___ | \ 7 /| | | ___ 4 ___ | \ 7 /| | | ___ 4 ___ | \ 7 /| |
| -3 - 2*\/ 2 *\/ 7 *sin|-------------| | | -3 + 2*\/ 2 *\/ 7 *sin|-------------| | | -3 - 2*\/ 2 *\/ 7 *sin|-------------| | | -3 + 2*\/ 2 *\/ 7 *sin|-------------| |
\ \ 2 / / \ \ 2 / / \ \ 2 / / \ \ 2 / /
$$\left(\left(\operatorname{atan}{\left(\frac{\sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{-3 - 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \pi - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 + \frac{3 \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \sqrt[4]{7} \sqrt{-14 - 6 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{7} i \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \sqrt[4]{7} i \sqrt{-14 - 6 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)}\right) + \left(\left(- \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} - \sqrt{7}}{-3 - 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt[4]{7} i \sqrt{-7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{14} i \sqrt{-7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt[4]{7} \sqrt{-7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt{-7 + 3 \sqrt{7} i}}{16}} \right)}\right) + \left(\operatorname{atan}{\left(\frac{- \sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{-3 + 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \pi - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt{-7 + 3 \sqrt{7} i}}{16} - \frac{\sqrt[4]{7} i \sqrt{-7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{14} i \sqrt{-7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt[4]{7} \sqrt{-7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)}\right)\right)\right) + \left(- \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + \sqrt{7}}{-3 + 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \sqrt[4]{7} \sqrt{-14 - 6 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{7} i \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \sqrt[4]{7} i \sqrt{-14 - 6 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{-14 - 6 \sqrt{7} i}}{16}} \right)}\right)$$
=
/ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\
| / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\
| / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 ||| | | |3*\/ 7 ||| | | |3*\/ 7 ||| | | |3*\/ 7 |||
| / |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| _________________ |atan|-------|| _________________ |atan|-------|| | | / |atan|-------|| |atan|-------|| |atan|-------|| _________________ |atan|-------|| |atan|-------|| _________________ |atan|-------|| | | / |atan|-------|| |atan|-------|| ________________ |atan|-------|| ________________ |atan|-------|| |atan|-------|| |atan|-------|| | | / ________________ |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| ________________ |atan|-------|| |atan|-------|| | | |atan|-------||| | |atan|-------||| | |atan|-------||| | |atan|-------|||
| / _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ / ___ | \ 7 /| ___ 4 ___ / ___ | \ 7 /| | | / _________________ ___ 3/4 | \ 7 /| _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ / ___ | \ 7 /| ___ 4 ___ | \ 7 /| ___ 4 ___ / ___ | \ 7 /| | | / ________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| 4 ___ / ___ | \ 7 /| ________________ 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ | \ 7 /| | | / ________________ ________________ 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ | \ 7 /| ___ 4 ___ | \ 7 /| 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| | | ___ ___ 4 ___ | \ 7 /|| | ___ ___ 4 ___ | \ 7 /|| | ___ ___ 4 ___ | \ 7 /|| | ___ ___ 4 ___ | \ 7 /||
| / / ___ 3*\/ 2 *\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| ___ / ___ 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| \/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *sin|-------------| I*\/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *cos|-------------| | | / / ___ \/ 2 *7 *cos|-------------| ___ / ___ 3*\/ 2 *\/ 7 *sin|-------------| I*\/ 2 *7 *sin|-------------| \/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *cos|-------------| | | / ___ / ___ 3*\/ 2 *\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| \/ 7 *\/ -7 + 3*I*\/ 7 *sin|-------------| ____ / ___ I*\/ 7 *\/ -7 + 3*I*\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| | | / ___ / ___ ____ / ___ \/ 7 *\/ -7 + 3*I*\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| 3*\/ 2 *\/ 7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 7 *\/ -7 + 3*I*\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| | |\/ 7 + 2*\/ 2 *\/ 7 *cos|-------------|| |- \/ 7 - 2*\/ 2 *\/ 7 *cos|-------------|| |\/ 7 - 2*\/ 2 *\/ 7 *cos|-------------|| |- \/ 7 + 2*\/ 2 *\/ 7 *cos|-------------||
| / 3*\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / I*\/ 7 *\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / | | / 3*\/ -14 - 6*I*\/ 7 \ 2 / I*\/ 7 *\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | | / 3*\/ 2 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / I*\/ 14 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / | | / 3*\/ 2 *\/ -7 + 3*I*\/ 7 I*\/ 14 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /| | \ 2 /| | \ 2 /| | \ 2 /|
- I*log| / 1 - ---------------------- - -------------------------------- - ----------------------------- - ---------------------------- - ---------------------------------- + ------------------------------- + --------------------------------------------------- + ----------------------------------------------------- | - I*log| / 1 + ---------------------- + ----------------------------- + ---------------------------- + -------------------------------- - ------------------------------- + --------------------------------------------------- + ---------------------------------- + ----------------------------------------------------- | - I*log| / 1 - --------------------------- - -------------------------------- - ----------------------------- + -------------------------------------------- + ---------------------------- - ---------------------------------------------- - ------------------------------- + ---------------------------------- | - I*log| / 1 + --------------------------- - ---------------------------- + -------------------------------------------- + ----------------------------- + -------------------------------- - ---------------------------------- - ---------------------------------------------- + ------------------------------- | + atan|----------------------------------------| + atan|------------------------------------------| + atan|----------------------------------------| + atan|------------------------------------------|
\\/ 16 8 8 16 8 8 8 8 / \\/ 16 8 16 8 8 8 8 8 / \\/ 16 8 8 4 16 4 8 8 / \\/ 16 16 4 8 8 8 4 8 / | / / ___\\ | | / / ___\\ | | / / ___\\ | | / / ___\\ |
| | |3*\/ 7 || | | | |3*\/ 7 || | | | |3*\/ 7 || | | | |3*\/ 7 || |
| |atan|-------|| | | |atan|-------|| | | |atan|-------|| | | |atan|-------|| |
| ___ 4 ___ | \ 7 /| | | ___ 4 ___ | \ 7 /| | | ___ 4 ___ | \ 7 /| | | ___ 4 ___ | \ 7 /| |
| -3 - 2*\/ 2 *\/ 7 *sin|-------------| | | -3 - 2*\/ 2 *\/ 7 *sin|-------------| | | -3 + 2*\/ 2 *\/ 7 *sin|-------------| | | -3 + 2*\/ 2 *\/ 7 *sin|-------------| |
\ \ 2 / / \ \ 2 / / \ \ 2 / / \ \ 2 / /
$$\operatorname{atan}{\left(\frac{\sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{-3 - 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \operatorname{atan}{\left(\frac{- \sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{-3 + 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} - \sqrt{7}}{-3 - 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + \sqrt{7}}{-3 + 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 + \frac{3 \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \sqrt[4]{7} \sqrt{-14 - 6 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{7} i \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \sqrt[4]{7} i \sqrt{-14 - 6 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)} - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt[4]{7} i \sqrt{-7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{14} i \sqrt{-7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt[4]{7} \sqrt{-7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt{-7 + 3 \sqrt{7} i}}{16}} \right)} - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt{-7 + 3 \sqrt{7} i}}{16} - \frac{\sqrt[4]{7} i \sqrt{-7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{14} i \sqrt{-7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt[4]{7} \sqrt{-7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)} - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \sqrt[4]{7} \sqrt{-14 - 6 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{7} i \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \sqrt[4]{7} i \sqrt{-14 - 6 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{-14 - 6 \sqrt{7} i}}{16}} \right)}$$
producto
/ / __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ \ / / __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ \ / / ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ \ / / ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ \ | | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\| | | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\| | | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\| | | / / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ | / / / ___\\\| | | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||| | | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||| | | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||| | | / | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | |3*\/ 7 || | | | |3*\/ 7 |||| | | / ________________ |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| ________________ |atan|-------|| |atan|-------|| | | |atan|-------|||| | | / |atan|-------|| |atan|-------|| ________________ |atan|-------|| ________________ |atan|-------|| |atan|-------|| |atan|-------|| | | |atan|-------|||| | | / |atan|-------|| |atan|-------|| |atan|-------|| _________________ |atan|-------|| |atan|-------|| _________________ |atan|-------|| | | |atan|-------|||| | | / |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| _________________ |atan|-------|| _________________ |atan|-------|| | | |atan|-------|||| | | / ________________ ________________ 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ | \ 7 /| ___ 4 ___ | \ 7 /| 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||| | | / ________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| 4 ___ / ___ | \ 7 /| ________________ 4 ___ / ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||| | | / _________________ ___ 3/4 | \ 7 /| _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ / ___ | \ 7 /| ___ 4 ___ | \ 7 /| ___ 4 ___ / ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||| | | / _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| _________________ ___ 4 ___ | \ 7 /| ___ 3/4 | \ 7 /| ___ 4 ___ / ___ | \ 7 /| ___ 4 ___ / ___ | \ 7 /| | | ___ ___ 4 ___ | \ 7 /||| | | / ___ / ___ ____ / ___ \/ 7 *\/ -7 + 3*I*\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| 3*\/ 2 *\/ 7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 7 *\/ -7 + 3*I*\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| | |- \/ 7 - 2*\/ 2 *\/ 7 *cos|-------------||| | | / ___ / ___ 3*\/ 2 *\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| \/ 7 *\/ -7 + 3*I*\/ 7 *sin|-------------| ____ / ___ I*\/ 7 *\/ -7 + 3*I*\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| | |- \/ 7 + 2*\/ 2 *\/ 7 *cos|-------------||| | | / / ___ \/ 2 *7 *cos|-------------| ___ / ___ 3*\/ 2 *\/ 7 *sin|-------------| I*\/ 2 *7 *sin|-------------| \/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *sin|-------------| 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *cos|-------------| | |\/ 7 + 2*\/ 2 *\/ 7 *cos|-------------||| | | / / ___ 3*\/ 2 *\/ 7 *sin|-------------| \/ 2 *7 *cos|-------------| ___ / ___ 3*I*\/ 2 *\/ 7 *cos|-------------| I*\/ 2 *7 *sin|-------------| \/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *sin|-------------| I*\/ 2 *\/ 7 *\/ -14 - 6*I*\/ 7 *cos|-------------| | |\/ 7 - 2*\/ 2 *\/ 7 *cos|-------------||| | | / 3*\/ 2 *\/ -7 + 3*I*\/ 7 I*\/ 14 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /|| | | / 3*\/ 2 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / I*\/ 14 *\/ -7 + 3*I*\/ 7 \ 2 / \ 2 / \ 2 / | | \ 2 /|| | | / 3*\/ -14 - 6*I*\/ 7 \ 2 / I*\/ 7 *\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /|| | | / 3*\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / I*\/ 7 *\/ -14 - 6*I*\/ 7 \ 2 / \ 2 / \ 2 / \ 2 / | | \ 2 /|| 0*|-pi - I*log| / 1 + --------------------------- - ---------------------------- + -------------------------------------------- + ----------------------------- + -------------------------------- - ---------------------------------- - ---------------------------------------------- + ------------------------------- | + atan|------------------------------------------||*|pi - I*log| / 1 - --------------------------- - -------------------------------- - ----------------------------- + -------------------------------------------- + ---------------------------- - ---------------------------------------------- - ------------------------------- + ---------------------------------- | + atan|------------------------------------------||*|pi - I*log| / 1 + ---------------------- + ----------------------------- + ---------------------------- + -------------------------------- - ------------------------------- + --------------------------------------------------- + ---------------------------------- + ----------------------------------------------------- | + atan|----------------------------------------||*|-pi - I*log| / 1 - ---------------------- - -------------------------------- - ----------------------------- - ---------------------------- - ---------------------------------- + ------------------------------- + --------------------------------------------------- + ----------------------------------------------------- | + atan|----------------------------------------|| | \\/ 16 16 4 8 8 8 4 8 / | / / ___\\ || | \\/ 16 8 8 4 16 4 8 8 / | / / ___\\ || | \\/ 16 8 16 8 8 8 8 8 / | / / ___\\ || | \\/ 16 8 8 16 8 8 8 8 / | / / ___\\ || | | | |3*\/ 7 || || | | | |3*\/ 7 || || | | | |3*\/ 7 || || | | | |3*\/ 7 || || | | |atan|-------|| || | | |atan|-------|| || | | |atan|-------|| || | | |atan|-------|| || | | ___ 4 ___ | \ 7 /| || | | ___ 4 ___ | \ 7 /| || | | ___ 4 ___ | \ 7 /| || | | ___ 4 ___ | \ 7 /| || | | -3 - 2*\/ 2 *\/ 7 *sin|-------------| || | | -3 + 2*\/ 2 *\/ 7 *sin|-------------| || | | -3 - 2*\/ 2 *\/ 7 *sin|-------------| || | | -3 + 2*\/ 2 *\/ 7 *sin|-------------| || \ \ \ 2 / // \ \ \ 2 / // \ \ \ 2 / // \ \ \ 2 / //
$$0 \left(- \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} - \sqrt{7}}{-3 - 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt[4]{7} i \sqrt{-7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{14} i \sqrt{-7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt[4]{7} \sqrt{-7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt{-7 + 3 \sqrt{7} i}}{16}} \right)}\right) \left(\operatorname{atan}{\left(\frac{- \sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{-3 + 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \pi - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt{-7 + 3 \sqrt{7} i}}{16} - \frac{\sqrt[4]{7} i \sqrt{-7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{14} i \sqrt{-7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt[4]{7} \sqrt{-7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)}\right) \left(\operatorname{atan}{\left(\frac{\sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{-3 - 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} + \pi - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 + \frac{3 \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \sqrt[4]{7} \sqrt{-14 - 6 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{7} i \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \sqrt[4]{7} i \sqrt{-14 - 6 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)}\right) \left(- \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + \sqrt{7}}{-3 + 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \sqrt[4]{7} \sqrt{-14 - 6 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{7} i \sqrt{-14 - 6 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \sqrt[4]{7} i \sqrt{-14 - 6 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{-14 - 6 \sqrt{7} i}}{16}} \right)}\right)$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 94.2477796093526
x2 = -12.5663704234935
x3 = -87.9645943589322
x4 = -6.2831851483032
x5 = -75.3982237315162
x6 = -659.734457390703
x7 = 81.6814091625733
x8 = 31.4159267236023
x9 = -1539.38040024125
x10 = 25.1327416223727
x11 = -31.4159265686601
x12 = -56.5486675714565
x13 = 87.9645943356084
x14 = 50.2654824463556
x15 = -37.699111877038
x16 = 6.28318528429464
x17 = -75.3982237155302
x18 = 69.1150379742227
x19 = -31.4159266943293
x20 = -62.8318532006598
x21 = -75.3982237748881
x22 = 18.8495557402238
x23 = 87.9645945196084
x24 = -100.530964720198
x25 = -94.2477794606931
x26 = -25.1327414055409
x27 = -43.9822971746192
x28 = 12.5663704612773
x29 = -81.6814090377811
x30 = 100.53096477351
x31 = -62.8318527063202
x32 = -75.3982238495787
x33 = 62.8318528871447
x34 = 43.9822971693889
x35 = -69.115038549973
x36 = 0.0
x37 = 56.5486676172276
x38 = 37.6991120073258
x39 = 12.5663708011398
x40 = 81.6814088432372
x41 = 69.1150386689188
x42 = 75.3982238697208
x43 = -50.2654823043099
x44 = 25.1327409269591
x45 = -18.8495561291499
x45 = -18.8495561291499