# Verify the Identity (1+csc(x))/(sec(x))=cos(x)+cot(x)

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.
Apply the distributive property.
Multiply by .
Combine and .
Reorder terms.
Rewrite as .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity (1+csc(x))/(sec(x))=cos(x)+cot(x)