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Trigonometry Examples
Step 1
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 2
Step 2.1
Combine the opposite terms in .
Step 2.1.1
Subtract from .
Step 2.1.2
Add and .
Step 2.2
Add and .
Step 2.3
Simplify each term.
Step 2.3.1
Apply the distributive property.
Step 2.3.2
Multiply .
Step 2.3.2.1
Multiply by .
Step 2.3.2.2
Multiply by .
Step 2.4
Simplify by adding terms.
Step 2.4.1
Combine the opposite terms in .
Step 2.4.1.1
Subtract from .
Step 2.4.1.2
Add and .
Step 2.4.2
Add and .
Step 3
Step 3.1
Add parentheses.
Step 3.2
Reorder and .
Step 3.3
Add parentheses.
Step 3.4
Reorder and .
Step 3.5
Rewrite in terms of sines and cosines.
Step 3.6
Cancel the common factors.
Step 4
Step 4.1
Multiply by .
Step 4.2
Multiply by .