Start on the left side.

Apply pythagorean identity.

Write in sines and cosines using the quotient identity.

Write in sines and cosines using the quotient identity.

Apply the product rule to .

Apply the product rule to .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Because the two sides have been shown to be equivalent, the equation is an identity.

is an identity

Verify the Identity cot(x)^2(sec(x)^2-1)=1