Sr Examen
Otras calculadoras
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- La ecuación:
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Ecuación x+9=0
- Ecuación z^3=1+i
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Ecuación x/(x-2)-7/(x+2)=8/(x^2-4)
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Ecuación 12-y+2=0
- Expresar {x} en función de y en la ecuación:
- -16*x+3*y=17
- 18*x-14*y=-2
- 18*x+19*y=10
- 11*x-6*y=5
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Expresiones idénticas
- sin(dos *p+x)+cos(tres *p/ dos -x)= cero
- seno de (2 multiplicar por p más x) más coseno de (3 multiplicar por p dividir por 2 menos x) es igual a 0
- seno de (dos multiplicar por p más x) más coseno de (tres multiplicar por p dividir por dos menos x) es igual a cero
- sin(2p+x)+cos(3p/2-x)=0
- sin2p+x+cos3p/2-x=0
- sin(2*p+x)+cos(3*p/2-x)=O
- sin(2*p+x)+cos(3*p dividir por 2-x)=0
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Expresiones semejantes
- sin(2*p-x)+cos(3*p/2-x)=0
- sin(2*p+x)-cos(3*p/2-x)=0
- sin(2*p+x)+cos(3*p/2+x)=0
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Expresiones con funciones
- Seno sin
- sin(x/4)*sin(x/4)-cos(x/4)*cos(x/4)=cos(x)
- sin(2*y)^2=x
- sin^2(x)*cos^2(x)=-1
- sin(x)=(1/2)*x+1
- sin^2(x/2)+sin^2(x)+sin^2(5x\2)+sin^2(x)=2
- Coseno cos
- cos(3*x)-cos(7x)=0
- cos^2(2*pi*50*t)=0,995
- cos2a2,cosa=1447.
- cos5a-cos3a
- cos(п/2)=-1
sin(2*p+x)+cos(3*p/2-x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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/3*p \
sin(2*p + x) + cos|--- - x| = 0
\ 2 /
$$\sin{\left(2 p + x \right)} + \cos{\left(\frac{3 p}{2} - x \right)} = 0$$
Gráfica
Respuesta rápida
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/ /| _________ _________|\\ / _________ \
| || / -I*p / -I*p ||| | / -I*p |
| || / ----- / ----- ||| | / ----- |
|log(2) || / 2 / 2 ||| | / 2 |
x1 = I*|------ - log\|\/ -e + I*\/ -e |/| + arg\-\/ -e *(1 + I)/
\ 2 /
$$x_{1} = i \left(- \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}} + i \sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} + \frac{\log{\left(2 \right)}}{2}\right) + \arg{\left(- \sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)}$$
/ /| _________ _________|\\ / _________ \
| || / -I*p / -I*p ||| | / -I*p |
| || / ----- / ----- ||| | / ----- |
|log(2) || / 2 / 2 ||| | / 2 |
x2 = I*|------ - log\|\/ -e + I*\/ -e |/| + arg\\/ -e *(1 + I)/
\ 2 /
$$x_{2} = i \left(- \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}} + i \sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} + \frac{\log{\left(2 \right)}}{2}\right) + \arg{\left(\sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)}$$
/ -2*I*p\ x3 = -2*I*im(p) + arg\-e /
$$x_{3} = - 2 i \operatorname{im}{\left(p\right)} + \arg{\left(- e^{- 2 i p} \right)}$$
/ 3*I*p\
| -----|
3*I*im(p) | 2 |
x4 = --------- + arg\-e /
2
$$x_{4} = \frac{3 i \operatorname{im}{\left(p\right)}}{2} + \arg{\left(- e^{\frac{3 i p}{2}} \right)}$$
x4 = 3*i*im(p)/2 + arg(-exp(3*i*p/2))
Suma y producto de raíces
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suma
/ /| _________ _________|\\ / _________ \ / /| _________ _________|\\ / _________ \ | || / -I*p / -I*p ||| | / -I*p | | || / -I*p / -I*p ||| | / -I*p | / 3*I*p\ | || / ----- / ----- ||| | / ----- | | || / ----- / ----- ||| | / ----- | | -----| |log(2) || / 2 / 2 ||| | / 2 | |log(2) || / 2 / 2 ||| | / 2 | / -2*I*p\ 3*I*im(p) | 2 | I*|------ - log\|\/ -e + I*\/ -e |/| + arg\-\/ -e *(1 + I)/ + I*|------ - log\|\/ -e + I*\/ -e |/| + arg\\/ -e *(1 + I)/ + -2*I*im(p) + arg\-e / + --------- + arg\-e / \ 2 / \ 2 / 2
$$\left(\frac{3 i \operatorname{im}{\left(p\right)}}{2} + \arg{\left(- e^{\frac{3 i p}{2}} \right)}\right) + \left(\left(- 2 i \operatorname{im}{\left(p\right)} + \arg{\left(- e^{- 2 i p} \right)}\right) + \left(\left(i \left(- \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}} + i \sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} + \frac{\log{\left(2 \right)}}{2}\right) + \arg{\left(- \sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)}\right) + \left(i \left(- \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}} + i \sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} + \frac{\log{\left(2 \right)}}{2}\right) + \arg{\left(\sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)}\right)\right)\right)$$
=
/ /| _________ _________|\\ / _________ \ / _________ \
| || / -I*p / -I*p ||| / 3*I*p\ | / -I*p | | / -I*p |
| || / ----- / ----- ||| | -----| | / ----- | | / ----- |
|log(2) || / 2 / 2 ||| I*im(p) / -2*I*p\ | 2 | | / 2 | | / 2 |
2*I*|------ - log\|\/ -e + I*\/ -e |/| - ------- + arg\-e / + arg\-e / + arg\\/ -e *(1 + I)/ + arg\-\/ -e *(1 + I)/
\ 2 / 2
$$2 i \left(- \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}} + i \sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} + \frac{\log{\left(2 \right)}}{2}\right) - \frac{i \operatorname{im}{\left(p\right)}}{2} + \arg{\left(- \sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)} + \arg{\left(\sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)} + \arg{\left(- e^{- 2 i p} \right)} + \arg{\left(- e^{\frac{3 i p}{2}} \right)}$$
producto
/ / /| _________ _________|\\ / _________ \\ / / /| _________ _________|\\ / _________ \\ | | || / -I*p / -I*p ||| | / -I*p || | | || / -I*p / -I*p ||| | / -I*p || / / 3*I*p\\ | | || / ----- / ----- ||| | / ----- || | | || / ----- / ----- ||| | / ----- || | | -----|| | |log(2) || / 2 / 2 ||| | / 2 || | |log(2) || / 2 / 2 ||| | / 2 || / / -2*I*p\\ |3*I*im(p) | 2 || |I*|------ - log\|\/ -e + I*\/ -e |/| + arg\-\/ -e *(1 + I)/|*|I*|------ - log\|\/ -e + I*\/ -e |/| + arg\\/ -e *(1 + I)/|*\-2*I*im(p) + arg\-e //*|--------- + arg\-e /| \ \ 2 / / \ \ 2 / / \ 2 /
$$\left(i \left(- \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}} + i \sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} + \frac{\log{\left(2 \right)}}{2}\right) + \arg{\left(- \sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)}\right) \left(i \left(- \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}} + i \sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} + \frac{\log{\left(2 \right)}}{2}\right) + \arg{\left(\sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)}\right) \left(- 2 i \operatorname{im}{\left(p\right)} + \arg{\left(- e^{- 2 i p} \right)}\right) \left(\frac{3 i \operatorname{im}{\left(p\right)}}{2} + \arg{\left(- e^{\frac{3 i p}{2}} \right)}\right)$$
=
/ / _________ \ /| _________|\\ / / _________ \ /| _________|\\
| | / -I*p | || / -I*p ||| | | / -I*p | || / -I*p ||| / / 3*I*p\ \
| | / ----- | || / ----- ||| | | / ----- | || / ----- ||| | | -----| |
/ / -2*I*p\ \ | | / 2 | || / 2 ||| | | / 2 | || / 2 ||| | | 2 | |
-\- arg\-e / + 2*I*im(p)/*\- arg\\/ -e *(1 + I)/ + I*log\|\/ -e |//*\- arg\-\/ -e *(1 + I)/ + I*log\|\/ -e |//*\2*arg\-e / + 3*I*im(p)/
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2
$$- \frac{\left(i \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} - \arg{\left(- \sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)}\right) \left(i \log{\left(\left|{\sqrt{- e^{- \frac{i p}{2}}}}\right| \right)} - \arg{\left(\sqrt{- e^{- \frac{i p}{2}}} \left(1 + i\right) \right)}\right) \left(2 i \operatorname{im}{\left(p\right)} - \arg{\left(- e^{- 2 i p} \right)}\right) \left(3 i \operatorname{im}{\left(p\right)} + 2 \arg{\left(- e^{\frac{3 i p}{2}} \right)}\right)}{2}$$
-(-arg(-exp(-2*i*p)) + 2*i*im(p))*(-arg(sqrt(-exp(-i*p/2))*(1 + i)) + i*log(Abs(sqrt(-exp(-i*p/2)))))*(-arg(-sqrt(-exp(-i*p/2))*(1 + i)) + i*log(Abs(sqrt(-exp(-i*p/2)))))*(2*arg(-exp(3*i*p/2)) + 3*i*im(p))/2