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  4. If n ∈ N, then | sin n x|

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Q. If $n \in N$, then $|\sin n x|$

ManipalManipal 2011

Solution:

Let $T=|\sin n x|$
Put $n=2$, then
$T =|\sin 2 x|$
$=|2 \sin x \cos x| \leq 2|\sin x|$