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cosy=sinx la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(y) = sin(x)
cos⁡(y)=sin⁡(x)\cos{\left(y \right)} = \sin{\left(x \right)}
Simplificar
Solución detallada
Tenemos la ecuación
cos⁡(y)=sin⁡(x)\cos{\left(y \right)} = \sin{\left(x \right)}
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en -1

La ecuación se convierte en
sin⁡(x)=cos⁡(y)\sin{\left(x \right)} = \cos{\left(y \right)}
Esta ecuación se reorganiza en
x=2πn+asin⁡(cos⁡(y))x = 2 \pi n + \operatorname{asin}{\left(\cos{\left(y \right)} \right)}
x=2πn−asin⁡(cos⁡(y))+πx = 2 \pi n - \operatorname{asin}{\left(\cos{\left(y \right)} \right)} + \pi
O
x=2πn+asin⁡(cos⁡(y))x = 2 \pi n + \operatorname{asin}{\left(\cos{\left(y \right)} \right)}
x=2πn−asin⁡(cos⁡(y))+πx = 2 \pi n - \operatorname{asin}{\left(\cos{\left(y \right)} \right)} + \pi
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src] 
x1 = pi - re(asin(cos(y))) - I*im(asin(cos(y)))
x1=−re⁡(asin⁡(cos⁡(y)))−iim⁡(asin⁡(cos⁡(y)))+πx_{1} = - \operatorname{re}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} + \pi 
x2 = I*im(asin(cos(y))) + re(asin(cos(y)))
x2=re⁡(asin⁡(cos⁡(y)))+iim⁡(asin⁡(cos⁡(y)))x_{2} = \operatorname{re}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} 
x2 = re(asin(cos(y))) + i*im(asin(cos(y)))
Suma y producto de raíces [src] 
suma
pi - re(asin(cos(y))) - I*im(asin(cos(y))) + I*im(asin(cos(y))) + re(asin(cos(y)))
(re⁡(asin⁡(cos⁡(y)))+iim⁡(asin⁡(cos⁡(y))))+(−re⁡(asin⁡(cos⁡(y)))−iim⁡(asin⁡(cos⁡(y)))+π)\left(\operatorname{re}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} + \pi\right) 
=
pi
π\pi 
producto
(pi - re(asin(cos(y))) - I*im(asin(cos(y))))*(I*im(asin(cos(y))) + re(asin(cos(y))))
(re⁡(asin⁡(cos⁡(y)))+iim⁡(asin⁡(cos⁡(y))))(−re⁡(asin⁡(cos⁡(y)))−iim⁡(asin⁡(cos⁡(y)))+π)\left(\operatorname{re}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} + \pi\right) 
=
-(I*im(asin(cos(y))) + re(asin(cos(y))))*(-pi + I*im(asin(cos(y))) + re(asin(cos(y))))
−(re⁡(asin⁡(cos⁡(y)))+iim⁡(asin⁡(cos⁡(y))))(re⁡(asin⁡(cos⁡(y)))+iim⁡(asin⁡(cos⁡(y)))−π)- \left(\operatorname{re}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\cos{\left(y \right)} \right)}\right)} - \pi\right) 
-(i*im(asin(cos(y))) + re(asin(cos(y))))*(-pi + i*im(asin(cos(y))) + re(asin(cos(y))))
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