# Trigonometry Examples

Simplify with factoring out.
Reorder and .
Rewrite as .
Factor out of .
Factor out of .
Rewrite as .
Apply pythagorean identity.
Simplify terms.
Simplify each term.
Rewrite in terms of sines and cosines.
Apply the product rule to .
Apply the distributive property.
Multiply .
Combine and .
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Multiply .
Multiply by .
Multiply by .
Simplify the expression.
Rewrite as .
Reorder and .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify terms.
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 .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
Combine the opposite terms in .
Reorder the factors in the terms and .
Simplify each term.
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
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.