# Trigonometry Examples

Start on the left side.

Write in sines and cosines using the quotient identity.

Apply the reciprocal identity to .

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

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

is an identity