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Question Number 22856 by FilupS last updated on 23/Oct/17

$$\mathrm{solve}:\sin \left(x\right)=2,x\in \mathbb{C}$$

Commented by Tinkutara last updated on 23/Oct/17

$$Writeas{e}^{i\theta }=\cos \theta +i\sin \theta and$$$$e^{-i\theta }=\cos \theta -i\sin \theta$$$$Subtracttoget\sin \theta intermsof{e}^{i\theta }$$$$and{e}^{-i\theta }.Assumeoneofthem=x,so$$$$otherwillbe\frac{1}{x}.Youwillget{e}^{i\theta }and$$$$thentakelog.$$

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