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

Start on the left side.
Convert to sines and cosines.
Apply the reciprocal identity to .
Write in sines and cosines using the quotient identity.
Simplify.
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)