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Q.

$If n \in N and the period of \frac{\cos (n x)}{\sin (x / n)} is 4 π, then n is$

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a

2

b

1

c

3

d

4

answer is B.

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Detailed Solution

$period of \cos n x = \frac{2 π}{n}$

$period of \sin (x / n) i s \frac{2 π}{1 / n} = 2 n π$

$LCM of \frac{2 π}{n}, 2 nπ = 4 π \Rightarrow n = 2$

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