Verify that the equation is an identity.
(cos2x)/(sinx)=cosxcotx-sinx
To verify the identity, start with either side and transform it to look like the other side. In this example, we will start with the right side. Choose the correct transformations and transform the expression at each step.
cosxcotx-sinx=
(Do not simplify.) Apply a quotient identity. Apply an even-odd identity. Apply a Pythagorean identity. Apply double-number identities.