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-i2sinz-cosz=5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
-i2*sin(z) - cos(z) = 5
−i2sin⁡(z)−cos⁡(z)=5- i_{2} \sin{\left(z \right)} - \cos{\left(z \right)} = 5
Simplificar
Gráfica
Respuesta rápida [src] 
           /    /     ___________     \\         /    /     ___________     \\
           |    |    /         2      ||         |    |    /         2      ||
           |    |  \/  -24 + i2     i2||         |    |  \/  -24 + i2     i2||
z1 = - 2*re|atan|- -------------- + --|| - 2*I*im|atan|- -------------- + --||
           \    \        4          4 //         \    \        4          4 //
z1=−2re⁡(atan⁡(i24−i22−244))−2iim⁡(atan⁡(i24−i22−244))z_{1} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} 
           /    /        ___________\\         /    /        ___________\\
           |    |       /         2 ||         |    |       /         2 ||
           |    |i2   \/  -24 + i2  ||         |    |i2   \/  -24 + i2  ||
z2 = - 2*re|atan|-- + --------------|| - 2*I*im|atan|-- + --------------||
           \    \4          4       //         \    \4          4       //
z2=−2re⁡(atan⁡(i24+i22−244))−2iim⁡(atan⁡(i24+i22−244))z_{2} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} 
z2 = -2*re(atan(i2/4 + sqrt(i2^2 - 24)/4)) - 2*i*im(atan(i2/4 + sqrt(i2^2 - 24)/4))
Suma y producto de raíces [src] 
suma
      /    /     ___________     \\         /    /     ___________     \\         /    /        ___________\\         /    /        ___________\\
      |    |    /         2      ||         |    |    /         2      ||         |    |       /         2 ||         |    |       /         2 ||
      |    |  \/  -24 + i2     i2||         |    |  \/  -24 + i2     i2||         |    |i2   \/  -24 + i2  ||         |    |i2   \/  -24 + i2  ||
- 2*re|atan|- -------------- + --|| - 2*I*im|atan|- -------------- + --|| + - 2*re|atan|-- + --------------|| - 2*I*im|atan|-- + --------------||
      \    \        4          4 //         \    \        4          4 //         \    \4          4       //         \    \4          4       //
(−2re⁡(atan⁡(i24−i22−244))−2iim⁡(atan⁡(i24−i22−244)))+(−2re⁡(atan⁡(i24+i22−244))−2iim⁡(atan⁡(i24+i22−244)))\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)}\right) + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)}\right) 
=
      /    /     ___________     \\       /    /        ___________\\         /    /     ___________     \\         /    /        ___________\\
      |    |    /         2      ||       |    |       /         2 ||         |    |    /         2      ||         |    |       /         2 ||
      |    |  \/  -24 + i2     i2||       |    |i2   \/  -24 + i2  ||         |    |  \/  -24 + i2     i2||         |    |i2   \/  -24 + i2  ||
- 2*re|atan|- -------------- + --|| - 2*re|atan|-- + --------------|| - 2*I*im|atan|- -------------- + --|| - 2*I*im|atan|-- + --------------||
      \    \        4          4 //       \    \4          4       //         \    \        4          4 //         \    \4          4       //
−2re⁡(atan⁡(i24−i22−244))−2re⁡(atan⁡(i24+i22−244))−2iim⁡(atan⁡(i24−i22−244))−2iim⁡(atan⁡(i24+i22−244))- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} 
producto
/      /    /     ___________     \\         /    /     ___________     \\\ /      /    /        ___________\\         /    /        ___________\\\
|      |    |    /         2      ||         |    |    /         2      ||| |      |    |       /         2 ||         |    |       /         2 |||
|      |    |  \/  -24 + i2     i2||         |    |  \/  -24 + i2     i2||| |      |    |i2   \/  -24 + i2  ||         |    |i2   \/  -24 + i2  |||
|- 2*re|atan|- -------------- + --|| - 2*I*im|atan|- -------------- + --|||*|- 2*re|atan|-- + --------------|| - 2*I*im|atan|-- + --------------|||
\      \    \        4          4 //         \    \        4          4 /// \      \    \4          4       //         \    \4          4       ///
(−2re⁡(atan⁡(i24−i22−244))−2iim⁡(atan⁡(i24−i22−244)))(−2re⁡(atan⁡(i24+i22−244))−2iim⁡(atan⁡(i24+i22−244)))\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)}\right) 
=
  /    /    /     ___________     \\     /    /     ___________     \\\ /    /    /        ___________\\     /    /        ___________\\\
  |    |    |    /         2      ||     |    |    /         2      ||| |    |    |       /         2 ||     |    |       /         2 |||
  |    |    |  \/  -24 + i2     i2||     |    |  \/  -24 + i2     i2||| |    |    |i2   \/  -24 + i2  ||     |    |i2   \/  -24 + i2  |||
4*|I*im|atan|- -------------- + --|| + re|atan|- -------------- + --|||*|I*im|atan|-- + --------------|| + re|atan|-- + --------------|||
  \    \    \        4          4 //     \    \        4          4 /// \    \    \4          4       //     \    \4          4       ///
4(re⁡(atan⁡(i24−i22−244))+iim⁡(atan⁡(i24−i22−244)))(re⁡(atan⁡(i24+i22−244))+iim⁡(atan⁡(i24+i22−244)))4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} - \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{i_{2}}{4} + \frac{\sqrt{i_{2}^{2} - 24}}{4} \right)}\right)}\right) 
4*(i*im(atan(-sqrt(-24 + i2^2)/4 + i2/4)) + re(atan(-sqrt(-24 + i2^2)/4 + i2/4)))*(i*im(atan(i2/4 + sqrt(-24 + i2^2)/4)) + re(atan(i2/4 + sqrt(-24 + i2^2)/4)))
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