Start on the left side.

Apply the reciprocal identity to .

Write in sines and cosines using the quotient identity.

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of .

Rewrite as .

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

is an identity

Verify the Identity (csc(x))/(cot(x))=sec(x)