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cos^2(x)+cos(x)=sin(x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   2                     
cos (x) + cos(x) = sin(x)
$$\cos^{2}{\left(x \right)} + \cos{\left(x \right)} = \sin{\left(x \right)}$$
Gráfica
Respuesta rápida [src]
         /    /       _______________               /       _______________              \\\         /    /       _______________               /       _______________              \\\
         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||
         |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||         |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||
x1 = 2*re|atan|---------------------------------------------------------------------------|| + 2*I*im|atan|---------------------------------------------------------------------------||
         |    |                                        _______________                    ||         |    |                                        _______________                    ||
         |    |                       /        ___\ 3 /          ____                     ||         |    |                       /        ___\ 3 /          ____                     ||
         \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      //         \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      //
$$x_{1} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}$$
         /    /       _______________               /       _______________              \\\         /    /       _______________               /       _______________              \\\
         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||
         |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||         |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||
x2 = 2*re|atan|---------------------------------------------------------------------------|| + 2*I*im|atan|---------------------------------------------------------------------------||
         |    |                                        _______________                    ||         |    |                                        _______________                    ||
         |    |                       /        ___\ 3 /          ____                     ||         |    |                       /        ___\ 3 /          ____                     ||
         \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      //         \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      //
$$x_{2} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}$$
            /       _______________                       \
            |    3 /          ____                        |
            |1   \/  17 + 3*\/ 33              2          |
x3 = -2*atan|- - ------------------ + --------------------|
            |3           3                 _______________|
            |                           3 /          ____ |
            \                         3*\/  17 + 3*\/ 33  /
$$x_{3} = - 2 \operatorname{atan}{\left(- \frac{\sqrt[3]{17 + 3 \sqrt{33}}}{3} + \frac{2}{3 \sqrt[3]{17 + 3 \sqrt{33}}} + \frac{1}{3} \right)}$$
x3 = -2*atan(-(17 + 3*sqrt(33))^(1/3)/3 + 2/(3*(17 + 3*sqrt(33))^(1/3)) + 1/3)
Suma y producto de raíces [src]
suma
    /    /       _______________               /       _______________              \\\         /    /       _______________               /       _______________              \\\       /    /       _______________               /       _______________              \\\         /    /       _______________               /       _______________              \\\         /       _______________                       \
    |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||       |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    3 /          ____                        |
    |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||         |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||       |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||         |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||         |1   \/  17 + 3*\/ 33              2          |
2*re|atan|---------------------------------------------------------------------------|| + 2*I*im|atan|---------------------------------------------------------------------------|| + 2*re|atan|---------------------------------------------------------------------------|| + 2*I*im|atan|---------------------------------------------------------------------------|| - 2*atan|- - ------------------ + --------------------|
    |    |                                        _______________                    ||         |    |                                        _______________                    ||       |    |                                        _______________                    ||         |    |                                        _______________                    ||         |3           3                 _______________|
    |    |                       /        ___\ 3 /          ____                     ||         |    |                       /        ___\ 3 /          ____                     ||       |    |                       /        ___\ 3 /          ____                     ||         |    |                       /        ___\ 3 /          ____                     ||         |                           3 /          ____ |
    \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      //         \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      //       \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      //         \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      //         \                         3*\/  17 + 3*\/ 33  /
$$\left(\left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}\right)\right) - 2 \operatorname{atan}{\left(- \frac{\sqrt[3]{17 + 3 \sqrt{33}}}{3} + \frac{2}{3 \sqrt[3]{17 + 3 \sqrt{33}}} + \frac{1}{3} \right)}$$
=
        /       _______________                       \       /    /       _______________               /       _______________              \\\       /    /       _______________               /       _______________              \\\         /    /       _______________               /       _______________              \\\         /    /       _______________               /       _______________              \\\
        |    3 /          ____                        |       |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||       |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||
        |1   \/  17 + 3*\/ 33              2          |       |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||       |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||         |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||         |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||
- 2*atan|- - ------------------ + --------------------| + 2*re|atan|---------------------------------------------------------------------------|| + 2*re|atan|---------------------------------------------------------------------------|| + 2*I*im|atan|---------------------------------------------------------------------------|| + 2*I*im|atan|---------------------------------------------------------------------------||
        |3           3                 _______________|       |    |                                        _______________                    ||       |    |                                        _______________                    ||         |    |                                        _______________                    ||         |    |                                        _______________                    ||
        |                           3 /          ____ |       |    |                       /        ___\ 3 /          ____                     ||       |    |                       /        ___\ 3 /          ____                     ||         |    |                       /        ___\ 3 /          ____                     ||         |    |                       /        ___\ 3 /          ____                     ||
        \                         3*\/  17 + 3*\/ 33  /       \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      //       \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      //         \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      //         \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      //
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} - 2 \operatorname{atan}{\left(- \frac{\sqrt[3]{17 + 3 \sqrt{33}}}{3} + \frac{2}{3 \sqrt[3]{17 + 3 \sqrt{33}}} + \frac{1}{3} \right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}$$
producto
/    /    /       _______________               /       _______________              \\\         /    /       _______________               /       _______________              \\\\ /    /    /       _______________               /       _______________              \\\         /    /       _______________               /       _______________              \\\\        /       _______________                       \
|    |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||| |    |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||         |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\||||        |    3 /          ____                        |
|    |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||         |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||| |    |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||         |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //|||        |1   \/  17 + 3*\/ 33              2          |
|2*re|atan|---------------------------------------------------------------------------|| + 2*I*im|atan|---------------------------------------------------------------------------|||*|2*re|atan|---------------------------------------------------------------------------|| + 2*I*im|atan|---------------------------------------------------------------------------|||*-2*atan|- - ------------------ + --------------------|
|    |    |                                        _______________                    ||         |    |                                        _______________                    ||| |    |    |                                        _______________                    ||         |    |                                        _______________                    |||        |3           3                 _______________|
|    |    |                       /        ___\ 3 /          ____                     ||         |    |                       /        ___\ 3 /          ____                     ||| |    |    |                       /        ___\ 3 /          ____                     ||         |    |                       /        ___\ 3 /          ____                     |||        |                           3 /          ____ |
\    \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      //         \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      /// \    \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      //         \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      ///        \                         3*\/  17 + 3*\/ 33  /
$$\left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}\right) \left(- 2 \operatorname{atan}{\left(- \frac{\sqrt[3]{17 + 3 \sqrt{33}}}{3} + \frac{2}{3 \sqrt[3]{17 + 3 \sqrt{33}}} + \frac{1}{3} \right)}\right)$$
=
   /    /    /       _______________               /       _______________              \\\     /    /       _______________               /       _______________              \\\\ /    /    /       _______________               /       _______________              \\\     /    /       _______________               /       _______________              \\\\     /       _______________ /       _______________\\
   |    |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||     |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||| |    |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\|||     |    |    3 /          ____  /        ___\ |    3 /          ____  /        ___\||||     |    3 /          ____  |    3 /          ____ ||
   |    |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||     |    |8 - \/  17 + 3*\/ 33  *\1 + I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 + I*\/ 3 //||| |    |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //||     |    |8 - \/  17 + 3*\/ 33  *\1 - I*\/ 3 /*\2 + \/  17 + 3*\/ 33  *\1 - I*\/ 3 //|||     |2 + \/  17 + 3*\/ 33  *\1 - \/  17 + 3*\/ 33  /|
-8*|I*im|atan|---------------------------------------------------------------------------|| + re|atan|---------------------------------------------------------------------------|||*|I*im|atan|---------------------------------------------------------------------------|| + re|atan|---------------------------------------------------------------------------|||*atan|-----------------------------------------------|
   |    |    |                                        _______________                    ||     |    |                                        _______________                    ||| |    |    |                                        _______________                    ||     |    |                                        _______________                    |||     |                   _______________             |
   |    |    |                       /        ___\ 3 /          ____                     ||     |    |                       /        ___\ 3 /          ____                     ||| |    |    |                       /        ___\ 3 /          ____                     ||     |    |                       /        ___\ 3 /          ____                     |||     |                3 /          ____              |
   \    \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      //     \    \                     6*\1 + I*\/ 3 /*\/  17 + 3*\/ 33                      /// \    \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      //     \    \                     6*\1 - I*\/ 3 /*\/  17 + 3*\/ 33                      ///     \              3*\/  17 + 3*\/ 33               /
$$- 8 \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 - \sqrt{3} i\right) \left(2 + \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{8 - \left(1 + \sqrt{3} i\right) \left(2 + \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{17 + 3 \sqrt{33}}} \right)}\right)}\right) \operatorname{atan}{\left(\frac{\left(1 - \sqrt[3]{17 + 3 \sqrt{33}}\right) \sqrt[3]{17 + 3 \sqrt{33}} + 2}{3 \sqrt[3]{17 + 3 \sqrt{33}}} \right)}$$
-8*(i*im(atan((8 - (17 + 3*sqrt(33))^(1/3)*(1 + i*sqrt(3))*(2 + (17 + 3*sqrt(33))^(1/3)*(1 + i*sqrt(3))))/(6*(1 + i*sqrt(3))*(17 + 3*sqrt(33))^(1/3)))) + re(atan((8 - (17 + 3*sqrt(33))^(1/3)*(1 + i*sqrt(3))*(2 + (17 + 3*sqrt(33))^(1/3)*(1 + i*sqrt(3))))/(6*(1 + i*sqrt(3))*(17 + 3*sqrt(33))^(1/3)))))*(i*im(atan((8 - (17 + 3*sqrt(33))^(1/3)*(1 - i*sqrt(3))*(2 + (17 + 3*sqrt(33))^(1/3)*(1 - i*sqrt(3))))/(6*(1 - i*sqrt(3))*(17 + 3*sqrt(33))^(1/3)))) + re(atan((8 - (17 + 3*sqrt(33))^(1/3)*(1 - i*sqrt(3))*(2 + (17 + 3*sqrt(33))^(1/3)*(1 - i*sqrt(3))))/(6*(1 - i*sqrt(3))*(17 + 3*sqrt(33))^(1/3)))))*atan((2 + (17 + 3*sqrt(33))^(1/3)*(1 - (17 + 3*sqrt(33))^(1/3)))/(3*(17 + 3*sqrt(33))^(1/3)))
Respuesta numérica [src]
x1 = 9.42477796076938
x2 = 47.1238898038469
x3 = -34.5575191894877
x4 = -49.2695124281573
x5 = -97.3893722612836
x6 = 32.4118965651773
x7 = -3.14159265358979
x8 = -24.136771199439
x9 = 59.6902604182061
x10 = 82.677379022614
x11 = 44.9782671795364
x12 = -47.1238898038469
x13 = -40.8407044966673
x14 = 3.14159265358979
x15 = 28.2743338823081
x16 = 38.6950818723569
x17 = -68.1190683496961
x18 = 97.3893722612836
x19 = -59.6902604182061
x20 = 76.3941937154344
x21 = -93.2518095784145
x22 = 57.5446377938956
x23 = -55.5526977353369
x24 = 21.9911485751286
x25 = -91.106186954104
x26 = -5.28721527790025
x27 = 34.5575191894877
x28 = 15.707963267949
x29 = -4168.89345131366
x30 = 40.8407044966673
x31 = -30.4199565066186
x32 = 65.9734457253857
x33 = -72.2566310325652
x34 = 63.8278231010752
x35 = -5123.93761800495
x36 = -21.9911485751286
x37 = 91.106186954104
x38 = 88.9605643297936
x39 = 53.4070751110265
x40 = -11.5704005850798
x41 = -28.2743338823081
x42 = -65.9734457253857
x43 = -53.4070751110265
x44 = 70.1110084082548
x45 = 13.5623406436385
x46 = -15.707963267949
x47 = 84.8230016469244
x48 = -61.8358830425165
x49 = -86.9686242712349
x50 = -17.8535858922594
x51 = 72.2566310325652
x52 = 0.995970029279341
x53 = 26.1287112579977
x54 = -78.5398163397448
x55 = -84.8230016469244
x56 = -99.534994885594
x57 = -103.672557568463
x58 = 78.5398163397448
x59 = -9.42477796076938
x60 = 19.8455259508181
x61 = -42.9863271209778
x62 = -74.4022536568757
x62 = -74.4022536568757