Complex NumbersHard

Question

The comples numbers sin x + i cos2x and cos x - i sin 2x are conjugate to each other, form

Options

A.x = nπ
B.x = 0
C.x = (n +1/ 2) π
D.o value of x

Solution


⇒     sin x - i cos2x = cos x - i sin 2x
⇒     sin x = cos x and cos x = sin 2x
⇒     tan x = 1 and tan 2x = 1
⇒     x = π/4 and x = π /8 which is not possible at same time.
Hence, no solution exist.

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