Q. If $n \in N$ , then $∣ sin n x ∣$

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A

$\leq n ∣ sin x ∣$

B

$\geq n ∣ sin x ∣$

C

$= n ∣ sin x ∣$

D

None of these

Solution:

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