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period the function f(x)=(sin{sin(n x)}...

period the function `f(x)=(sin{sin(n x)})/(tan (x/n))`, n`in` N, is `6pi` then `n=`--------

A

3

B

2

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

Period of sin `(sin (nx))` is `(2pi)/(n)` and that of `tan((x)/(n))` is `3 pi`
`therefore` Period of `f(x)` is `6 pi`
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