Find the value of x, if
sin 2x = sin 60° cos 30° – cos 60° sin 30°
(a) 20°
(b) 15°
(c) 30°
(d) 45°
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Find the value of x, if
sin 2x = sin 60° cos 30° – cos 60° sin 30°
(a) 20°
(b) 15°
(c) 30°
(d) 45°
Find the value of x, if
sin 2x = sin 60° cos 30° – cos 60° sin 30°
(a) 20°
(b) 15°
(c) 30°
(d) 45°
(b) 15°
sin 2x = \(\frac{\sqrt3}{2}\times\frac{\sqrt3}{2}-\frac12\times\frac12\)
= \(\frac34-\frac14 = \frac12\)
∴ sin 2x = \(\frac12\) = sin 30° ⇒ 2x = 30° ⇒ x = 15°.