If $n \in N$, and the period of $\frac{\cos{nx}}{\sin\left( \frac{x}{n} \right)}$ is $4\pi$, then $n$ is equal to

Question

Dr. Abubacker · Accepted Answer

(c)
Since, period of $\cos{nx = \frac{2\pi}{n}}$
And period of $\sin{\left( \frac{x}{n} ight) = 2n\pi}$
$	herefore$ Period of $\frac{\cos{nx}}{\sin\left( \frac{x}{n} ight)}$ is $2n\pi$
$\Rightarrow \ \ 2n\pi = 4\pi\ \  \Rightarrow \ \ \ n = 2$

Q. If $n \in N$, and the period of $\frac{\cos{nx}}{\sin\left( \frac{x}{n} \right)}$ is $4\pi$, then $n$ is equal to

Explanation

Reviewed by Dr. Abubacker

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