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Question: If \(\sin 8\theta - i\cos 8\theta\) is a positive integer, then \(\left( \frac{\cos\theta + i\sin\th...

If sin⁡8θ−icos⁡8θ\sin 8\theta - i\cos 8\theta is a positive integer, then (cos⁡θ+isin⁡θsin⁡θ+icos⁡θ)4\left( \frac{\cos\theta + i\sin\theta}{\sin\theta + i\cos\theta} \right)^{4}=.

A

1

B

– 1

C

11

D

−1- 1

Answer

11

Explanation

Solution

Since ∣z1∣2+∣z2∣2|z_{1}|^{2} + |z_{2}|^{2}

Therefore 2∣z1∣∣z2∣2|z_{1}||z_{2}|