Verify the identity. sin x + sin x cot 2x = csc x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. sin x + sin x cot 2x = = sin x ( 1 + cot 2x) Factor out the greatest common factor, sin x. (Do not simplify.) = sin x (csc 2 X Apply a Pythagorean identity. (Do not simplify.) Apply a reciprocal identity to rewrite sin x. Apply the appropriate even - odd identity to rewrite sin x. Apply a Pythagorean identity to rewrite sin x.