If $z = \cos\theta + i \sin\theta$, then the value of $z^n + \frac{1}{z^n}$ will be.

1. $\sin \left(2n\theta \right)$

2. $2\sin \left(n\theta \right)$

3. $2\cos \left(n\theta \right)$

4. $\cos \left(2n\theta \right)$

Solution

Asked in: MHT CET Full Test 4

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