sin(2*re(o)) I*sinh(2*im(o))
x1 = -------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------
/ 2 2 \ / 2 2 \
| sin (2*re(o)) sinh (2*im(o)) | | sin (2*re(o)) sinh (2*im(o)) |
|------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o)))
| 2 2| | 2 2|
\(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) / \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) /
$$x_{1} = \frac{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)} - \frac{i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)}$$
x1 = sin(2*re(o))/((sin(2*re(o))^2/(cos(2*re(o)) + cosh(2*im(o)))^2 + sinh(2*im(o))^2/(cos(2*re(o)) + cosh(2*im(o)))^2)*(cos(2*re(o)) + cosh(2*im(o)))) - i*sinh(2*im(o))/((sin(2*re(o))^2/(cos(2*re(o)) + cosh(2*im(o)))^2 + sinh(2*im(o))^2/(cos(2*re(o)) + cosh(2*im(o)))^2)*(cos(2*re(o)) + cosh(2*im(o))))
Suma y producto de raíces
[src]
sin(2*re(o)) I*sinh(2*im(o))
-------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------
/ 2 2 \ / 2 2 \
| sin (2*re(o)) sinh (2*im(o)) | | sin (2*re(o)) sinh (2*im(o)) |
|------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o)))
| 2 2| | 2 2|
\(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) / \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) /
$$\frac{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)} - \frac{i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)}$$
sin(2*re(o)) I*sinh(2*im(o))
-------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------
/ 2 2 \ / 2 2 \
| sin (2*re(o)) sinh (2*im(o)) | | sin (2*re(o)) sinh (2*im(o)) |
|------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o)))
| 2 2| | 2 2|
\(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) / \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) /
$$\frac{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)} - \frac{i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)}$$
sin(2*re(o)) I*sinh(2*im(o))
-------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------
/ 2 2 \ / 2 2 \
| sin (2*re(o)) sinh (2*im(o)) | | sin (2*re(o)) sinh (2*im(o)) |
|------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o)))
| 2 2| | 2 2|
\(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) / \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) /
$$\frac{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)} - \frac{i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)}$$
cos(2*re(o)) + cosh(2*im(o))
------------------------------
I*sinh(2*im(o)) + sin(2*re(o))
$$\frac{\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)} + i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}$$
(cos(2*re(o)) + cosh(2*im(o)))/(i*sinh(2*im(o)) + sin(2*re(o)))