4 can be written as - Vidyadip

MCQ

$\sin 4\theta $ can be written as

✓
$4\sin \theta (1 - 2{\sin ^2}\theta )\sqrt {1 - {{\sin }^2}\theta } $
B
$2\sin \theta \cos \theta {\sin ^2}\theta $
C
$4\sin \theta - 6{\sin ^3}\theta $
D
None of these

✓

Answer

Correct option: A.

$4\sin \theta (1 - 2{\sin ^2}\theta )\sqrt {1 - {{\sin }^2}\theta } $

a
(a) $\sin 4\theta = 2\sin 2\theta \cos 2\theta $

$ = 2.2\sin \theta \cos \theta (1 - 2{\sin ^2}\theta )$

$ = 4\sin \theta (1 - 2{\sin ^2}\theta )\sqrt {1 - {{\sin }^2}\theta } $

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