1.

Let `f(x)=(sin 2n x)/(1+cos^(2)nx), n in N ` has `(pi)/(6)` as its fundamental period , then n=A. 2B. 4C. 6D. none of these

Answer» Correct Answer - C
We have,
`f(x)=( sin 2n x)/(1+ cos^(2)nx)implies f(x)=(2 sin 2nx)/(3+cos 2nx)`
Clearly , period of `f(x)` is ` (2pi)/(2n)=(pi)/(n)`
`:. (pi)/(n)=(pi)/(6)implies n=6`


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