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# Trigonometry Examples

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Check the middle term by multiplying and compare this result with the middle term in the original expression.

Simplify.

Factor using the perfect square trinomial rule , where and .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Cancel the common factor of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply each term by and simplify.

Multiply each term in by .

Simplify the left side of the equation by cancelling the common factors.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by .

Multiply by .

Rewrite the equation as .