Question

sin 2 x = sin 60°× cos 30° - Cos 60° × sin 30°​

Answer 1

Step-by-step explanation:

sin 2x = sin 60°.cos 30°- cos 60°.sin 30°

using identity

sin ( A - B ) = sin A. cos B - cos A. sin B

Here A= 60°

And B = 30°

So, sin 60°.cos 30°- cos 60°.sin 30°= sin( 60 ° - 30° )

=> sin 2x = sin 30°

ON COMPARING

2x = 30°

x = 30°/2 = 15°