solve-sin-x-2-x-C-

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

solve : \sin (x) = 2, x \in C

Commented by Tinkutara last updated on 23/Oct/17

W r i t e a s e^{i θ} = \cos θ + i \sin θ a n d

e^{- i θ} = \cos θ - i \sin θ

S u b t r a c t t o g e t \sin θ i n t e r m s o f e^{i θ}

a n d e^{- i θ} . A s s u m e o n e o f t h e m = x, s o

o t h e r w i l l b e \frac{1}{x} . Y o u w i l l g e t e^{i θ} a n d

t h e n t a k e l o g .