1.

Find the value of x, if sin 2x = sin 60° cos 30° – cos 60° sin 30°(a) 20° (b) 15° (c) 30° (d) 45°

Answer»

(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°. 



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