Question

Verify the identity (cos 2x)/(sin x)=csc x-2sinx

Answer 1

Use identities:

• cos 2x = 1 - 2sin² x
• csc x = 1 / sin x

Then apply to the left side of the given equation:

• cos 2x / sin x = Substitute
• (1 - 2sin² x) / sin x = Distribute
• 1 / sin x - 2sin² x / sin x = Simplify
• csc x - 2sin x Answer

Proved