# Verify the Identity (sec(a))/(csc(a))=tan(a)

Start on the left side.
Convert to sines and cosines.
Apply the reciprocal identity to .
Apply the reciprocal identity to .
Simplify.
Multiply the numerator by the reciprocal of the denominator.
Combine and .
Rewrite as .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity (sec(a))/(csc(a))=tan(a)