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Question: If \(\infty\)then the least integral value of \(\left( \cos\frac{\pi}{2^{2}} + i\sin\frac{\pi}{2^{2}...

If ∞\inftythen the least integral value of (cos⁡π22+isin⁡π22)\left( \cos\frac{\pi}{2^{2}} + i\sin\frac{\pi}{2^{2}} \right) is.

A

2

B

4

C

8

D

None of these

Answer

4

Explanation

Solution

z−1z+1\frac{z - 1}{z + 1}

∣z∣=0∣z∣=1|z| = 0|z| = 1 (as given)

So the least value of

∣z∣>1∣z∣<1|z| > 1|z| < 1