If $\sin x=2$ then what is the value of $x$? I know this is impossible in real numbers because maximum and minimum value of $\sin x$ is $1$ and $-1$ respectively. but in imaginary number we can find it.
2026-05-15 03:49:44.1778816984
Can i find the value of trigonometry functions in this case?
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Start by writing what $\sin$ is in complex numbers: $$\sin x=\frac{e^{ix}-e^{-ix}}{2i}$$ From here use $z=e^{ix}$. Then you get $$z-\frac 1z=4i$$ Multiply with $z$ and you get a quadratic. Solve it and take the logarithm.