Find the value of sin 120° sin 240° sin 270°.

Correct option is D

Given:
sin 120° sin 240° sin 270°
Concept Used:

​Solution:

$$\sin 120^\circ \sin 240^\circ \sin 270^\circ \\= \sin(90^\circ + 30^\circ) \sin(270^\circ - 30^\circ) \sin(270^\circ + 0^\circ) \\= \cos 30^\circ \times -\cos 30^\circ \times -\cos 0^\circ \\= \frac{\sqrt{3}}{2} \times \frac{\sqrt{3}}{2} \times -1 \\= \frac{3}{4}$$​