Start on the left side.

Write in sines and cosines using the quotient identity.

Apply the reciprocal identity 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 tan(x)csc(x)cos(x)=1