Complex NumbersHard
Question
The complex numbers sin x + i cos 2x and cos x - i sin 2x are conjugate to each other, for
Options
A.x = nπ
B.x = 0
C.
D.no value of x
Solution
sin x + i cos2x = cos x + i sin2x
⇒ cos2x = sin2x
tan x = 1 & tan 2x = 1
∵ both equation will not have solution simultaneously.
⇒ cos2x = sin2x
tan x = 1 & tan 2x = 1
∵ both equation will not have solution simultaneously.
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