# Trigonometric equation: $\sin(z)=2$ with $z\in\mathbb{C}$

Someone could help me solve the equation $\sin(z)=2$ with $z\in\mathbb{C}$. Thanks.

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Hint: We have $$\sin z=\frac{e^{iz}-e^{-iz}}{2i}.$$ Let $w=e^{iz}$. Then our equation is $$\frac{w+\frac{1}{w}}{2}=2.$$ Multiply through by $2w$. We get a quadratic equation.