Question

The value of 4 × sin x × sin(x + π/3) × sin(x + 2π/3) is

(a) sin x

(b) sin 2x

(c) sin 3x

(d) sin 4x​

Answer 1

Step-by-step explanation:

$4 \times \sin(x) \times \sin( \frac{\pi}{3} + x) \times \sin( \frac{2\pi}{3} ) \\ = 4 \times \sin(x) \times \cos(x) \times ( - \cos(x) ) \\ = \sin(4x)$