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Question: The value of \(({\cos h}\theta + {\sin h}\theta)^{n}\) is. (\(({\cos h}\theta + {\sin h}\theta)^{n}...

The value of (cos⁡hθ+sin⁡hθ)n({\cos h}\theta + {\sin h}\theta)^{n} is.

((cos⁡hθ+sin⁡hθ)n({\cos h}\theta + {\sin h}\theta)^{n} dk eku gksxkA)

A

enθe^{n\theta}

B

e−nθe^{- n\theta}

C

einθe^{in\theta}

D

e−inθe^{- in\theta}

Answer

enθe^{n\theta}

Explanation

Solution

(cos⁡hθ+sin⁡hθ)n=enθ({\cos h}\theta + {\sin h}\theta)^{n} = e^{n\theta}.

It is a Demoivre’s theorem.