sin(x)=-2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = -2$$
es la ecuación trigonométrica más simple
Como el miembro derecho de la ecuación
en el módulo =
True
pero sin
no puede ser más de 1 o menos de -1
significa que la ecuación correspondiente no tiene solución.
x1 = pi + I*im(asin(2)) + re(asin(2))
$$x_{1} = \operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}$$
x2 = -re(asin(2)) - I*im(asin(2))
$$x_{2} = - \operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}$$
x2 = -re(asin(2)) - i*im(asin(2))
Suma y producto de raíces
[src]
pi + I*im(asin(2)) + re(asin(2)) + -re(asin(2)) - I*im(asin(2))
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right)$$
$$\pi$$
(pi + I*im(asin(2)) + re(asin(2)))*(-re(asin(2)) - I*im(asin(2)))
$$\left(- \operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right)$$
-(I*im(asin(2)) + re(asin(2)))*(pi + I*im(asin(2)) + re(asin(2)))
$$- \left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right)$$
-(i*im(asin(2)) + re(asin(2)))*(pi + i*im(asin(2)) + re(asin(2)))
x1 = 4.71238898038469 - 1.31695789692482*i
x2 = -1.5707963267949 + 1.31695789692482*i
x2 = -1.5707963267949 + 1.31695789692482*i