Sr Examen

z=cos(-x+3y) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
z = cos(-x + 3*y)
$$z = \cos{\left(- x + 3 y \right)}$$
Gráfica
Respuesta rápida [src]
z1 = cos(-3*re(y) + re(x))*cosh(-3*im(y) + im(x)) - I*sin(-3*re(y) + re(x))*sinh(-3*im(y) + im(x))
$$z_{1} = - i \sin{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)} + \cos{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)}$$
z1 = -i*sin(re(x) - 3*re(y))*sinh(im(x) - 3*im(y)) + cos(re(x) - 3*re(y))*cosh(im(x) - 3*im(y))
Suma y producto de raíces [src]
suma
cos(-3*re(y) + re(x))*cosh(-3*im(y) + im(x)) - I*sin(-3*re(y) + re(x))*sinh(-3*im(y) + im(x))
$$- i \sin{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)} + \cos{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)}$$
=
cos(-3*re(y) + re(x))*cosh(-3*im(y) + im(x)) - I*sin(-3*re(y) + re(x))*sinh(-3*im(y) + im(x))
$$- i \sin{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)} + \cos{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)}$$
producto
cos(-3*re(y) + re(x))*cosh(-3*im(y) + im(x)) - I*sin(-3*re(y) + re(x))*sinh(-3*im(y) + im(x))
$$- i \sin{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)} + \cos{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)}$$
=
cos(-3*re(y) + re(x))*cosh(-3*im(y) + im(x)) - I*sin(-3*re(y) + re(x))*sinh(-3*im(y) + im(x))
$$- i \sin{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)} + \cos{\left(\operatorname{re}{\left(x\right)} - 3 \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} - 3 \operatorname{im}{\left(y\right)} \right)}$$
cos(-3*re(y) + re(x))*cosh(-3*im(y) + im(x)) - i*sin(-3*re(y) + re(x))*sinh(-3*im(y) + im(x))