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Question

Question: \(\cos n\varphi + i\sin n\varphi\)is equal to....

cos⁡nφ+isin⁡nφ\cos n\varphi + i\sin n\varphiis equal to.

A

cos⁡nφ−isin⁡nφ\cos n\varphi - i\sin n\varphi

B

(1+cos⁡φ+isin⁡φ1+cos⁡φ−isin⁡φ)n=\left( \frac{1 + \cos\varphi + i\sin\varphi}{1 + \cos\varphi - i\sin\varphi} \right)^{n} =

C

mπn(n+1)\frac{m\pi}{n(n + 1)}

D

4mπn(n+1)\frac{4m\pi}{n(n + 1)}

Answer

mπn(n+1)\frac{m\pi}{n(n + 1)}

Explanation

Solution

z2z_{2}