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Trigonometry Examples
Step 1
Step 1.1
Rewrite in terms of sines and cosines.
Step 1.2
Rewrite as .
Step 1.3
Expand using the FOIL Method.
Step 1.3.1
Apply the distributive property.
Step 1.3.2
Apply the distributive property.
Step 1.3.3
Apply the distributive property.
Step 1.4
Simplify and combine like terms.
Step 1.4.1
Simplify each term.
Step 1.4.1.1
Multiply .
Step 1.4.1.1.1
Multiply by .
Step 1.4.1.1.2
Raise to the power of .
Step 1.4.1.1.3
Raise to the power of .
Step 1.4.1.1.4
Use the power rule to combine exponents.
Step 1.4.1.1.5
Add and .
Step 1.4.1.2
Rewrite using the commutative property of multiplication.
Step 1.4.1.3
Cancel the common factor of .
Step 1.4.1.3.1
Move the leading negative in into the numerator.
Step 1.4.1.3.2
Cancel the common factor.
Step 1.4.1.3.3
Rewrite the expression.
Step 1.4.1.4
Cancel the common factor of .
Step 1.4.1.4.1
Factor out of .
Step 1.4.1.4.2
Cancel the common factor.
Step 1.4.1.4.3
Rewrite the expression.
Step 1.4.1.5
Multiply .
Step 1.4.1.5.1
Multiply by .
Step 1.4.1.5.2
Multiply by .
Step 1.4.1.5.3
Raise to the power of .
Step 1.4.1.5.4
Raise to the power of .
Step 1.4.1.5.5
Use the power rule to combine exponents.
Step 1.4.1.5.6
Add and .
Step 1.4.2
Subtract from .
Step 1.5
Rewrite in terms of sines and cosines.
Step 1.6
Rewrite as .
Step 1.7
Expand using the FOIL Method.
Step 1.7.1
Apply the distributive property.
Step 1.7.2
Apply the distributive property.
Step 1.7.3
Apply the distributive property.
Step 1.8
Simplify and combine like terms.
Step 1.8.1
Simplify each term.
Step 1.8.1.1
Multiply .
Step 1.8.1.1.1
Multiply by .
Step 1.8.1.1.2
Raise to the power of .
Step 1.8.1.1.3
Raise to the power of .
Step 1.8.1.1.4
Use the power rule to combine exponents.
Step 1.8.1.1.5
Add and .
Step 1.8.1.2
Cancel the common factor of .
Step 1.8.1.2.1
Cancel the common factor.
Step 1.8.1.2.2
Rewrite the expression.
Step 1.8.1.3
Cancel the common factor of .
Step 1.8.1.3.1
Cancel the common factor.
Step 1.8.1.3.2
Rewrite the expression.
Step 1.8.1.4
Multiply .
Step 1.8.1.4.1
Raise to the power of .
Step 1.8.1.4.2
Raise to the power of .
Step 1.8.1.4.3
Use the power rule to combine exponents.
Step 1.8.1.4.4
Add and .
Step 1.8.2
Add and .
Step 1.9
Apply the distributive property.
Step 1.10
Multiply by .
Step 2
Step 2.1
Combine the opposite terms in .
Step 2.1.1
Subtract from .
Step 2.1.2
Subtract from .
Step 2.1.3
Subtract from .
Step 2.1.4
Add and .
Step 2.2
Subtract from .