# Trigonometry Examples

Reorder and .

Rewrite as .

Factor out of .

Factor out of .

Rewrite as .

Apply pythagorean identity.

Simplify each term.

Rewrite in terms of sines and cosines.

Apply the product rule to .

Apply the distributive property.

Combine and .

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Rewrite as .

Reorder and .

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

Simplify each term.

Factor out of .

Separate fractions.

Convert from to .

Divide by .

Simplify each term.

Factor out of .

Separate fractions.

Convert from to .

Divide by .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Combine the opposite terms in .

Reorder the factors in the terms and .

Add and .

Add and .

Simplify each term.

Multiply .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .