Question

if cos 2x is equal to cos 6th degree cos 30 degree + sin 60 degree sin 30 degree find sin 2x​

Answer 1

Answer:

sin 2x = ± 1 / 2

If you're actually restricted to angles between 0° and 180°, then you can actually say that it must be positive, so sin 2x = 1/2.

Step-by-step explanation:

Compound angle formula:

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

So we have

cos 2x = cos 60° cos 30° + sin 60° sin 30°

= cos ( 60° - 30° ) = cos 30° = √3 / 2

Then

sin 2x = ± sin 30° = ± 1 / 2.

Answer 2

Answer:

Step-by-step explanation: