First slide

Trigonometric transformations

Question

$2 (1 - 2 \sin^{2} 7 θ) \sin 3 θ =$

Easy

A

$\sin 11 θ - \sin 17 θ$
B

$\sin 17 θ - \sin 11 θ$
C

$\cos 17 θ - \cos 11 θ$
D

$\cos 17 θ + \cos 11 θ$

Solution

$2 (1 - 2 \sin^{2} 7 θ) \sin 3 θ =$ $2 C o s 14 θ \sin 3 θ$
$= s i n 17 θ - \sin 11 θ$

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