Solveeit Logo
Login

Question

Question: The value of \(\left( \cos\frac{\pi}{4} + i\sin\frac{\pi}{4} \right)^{6}\) is equal to –...

The value of (cos⁡π4+isin⁡π4)6\left( \cos\frac{\pi}{4} + i\sin\frac{\pi}{4} \right)^{6} is equal to –

A

1

B

– I

C

– 1

D

i

Answer

– I

Explanation

Solution

Sol. = cos 6π4\frac{6\pi}{4} Ž cos3π4\frac{3\pi}{4} = – i