# Trigonometry Examples

Find the value using the definition of tangent.

Substitute the values into the definition.

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.

Multiply and .

Divide by .

The result can be shown in both exact and decimal forms.

Exact Form:

Decimal Form: