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Trigonometry Examples
Step 1
Step 1.1
Expand using the FOIL Method.
Step 1.1.1
Apply the distributive property.
Step 1.1.2
Apply the distributive property.
Step 1.1.3
Apply the distributive property.
Step 1.2
Simplify and combine like terms.
Step 1.2.1
Simplify each term.
Step 1.2.1.1
Multiply by .
Step 1.2.1.2
Move to the left of .
Step 1.2.1.3
Multiply by .
Step 1.2.2
Subtract from .
Step 1.3
Simplify each term.
Step 1.3.1
Apply the distributive property.
Step 1.3.2
Multiply by .
Step 1.3.3
Multiply by .
Step 1.3.4
Multiply by .
Step 1.4
Expand by multiplying each term in the first expression by each term in the second expression.
Step 1.5
Simplify terms.
Step 1.5.1
Simplify each term.
Step 1.5.1.1
Multiply by by adding the exponents.
Step 1.5.1.1.1
Multiply by .
Step 1.5.1.1.1.1
Raise to the power of .
Step 1.5.1.1.1.2
Use the power rule to combine exponents.
Step 1.5.1.1.2
Add and .
Step 1.5.1.2
Move to the left of .
Step 1.5.1.3
Multiply by by adding the exponents.
Step 1.5.1.3.1
Move .
Step 1.5.1.3.2
Multiply by .
Step 1.5.1.4
Multiply by .
Step 1.5.1.5
Multiply by .
Step 1.5.2
Simplify by adding terms.
Step 1.5.2.1
Subtract from .
Step 1.5.2.2
Add and .
Step 1.5.3
Simplify each term.
Step 1.5.3.1
Apply the distributive property.
Step 1.5.3.2
Multiply by .
Step 1.6
Expand by multiplying each term in the first expression by each term in the second expression.
Step 1.7
Simplify terms.
Step 1.7.1
Simplify each term.
Step 1.7.1.1
Multiply by by adding the exponents.
Step 1.7.1.1.1
Multiply by .
Step 1.7.1.1.1.1
Raise to the power of .
Step 1.7.1.1.1.2
Use the power rule to combine exponents.
Step 1.7.1.1.2
Add and .
Step 1.7.1.2
Move to the left of .
Step 1.7.1.3
Multiply by by adding the exponents.
Step 1.7.1.3.1
Move .
Step 1.7.1.3.2
Multiply by .
Step 1.7.1.3.2.1
Raise to the power of .
Step 1.7.1.3.2.2
Use the power rule to combine exponents.
Step 1.7.1.3.3
Add and .
Step 1.7.1.4
Multiply by .
Step 1.7.1.5
Multiply by .
Step 1.7.1.6
Multiply by by adding the exponents.
Step 1.7.1.6.1
Move .
Step 1.7.1.6.2
Multiply by .
Step 1.7.1.6.2.1
Raise to the power of .
Step 1.7.1.6.2.2
Use the power rule to combine exponents.
Step 1.7.1.6.3
Add and .
Step 1.7.1.7
Move to the left of .
Step 1.7.1.8
Multiply .
Step 1.7.1.8.1
Raise to the power of .
Step 1.7.1.8.2
Raise to the power of .
Step 1.7.1.8.3
Use the power rule to combine exponents.
Step 1.7.1.8.4
Add and .
Step 1.7.1.9
Rewrite as .
Step 1.7.1.10
Multiply by .
Step 1.7.1.11
Multiply by .
Step 1.7.1.12
Multiply by by adding the exponents.
Step 1.7.1.12.1
Move .
Step 1.7.1.12.2
Multiply by .
Step 1.7.1.13
Multiply by .
Step 1.7.1.14
Multiply .
Step 1.7.1.14.1
Multiply by .
Step 1.7.1.14.2
Raise to the power of .
Step 1.7.1.14.3
Raise to the power of .
Step 1.7.1.14.4
Use the power rule to combine exponents.
Step 1.7.1.14.5
Add and .
Step 1.7.1.15
Rewrite as .
Step 1.7.1.16
Multiply by .
Step 1.7.1.17
Multiply by by adding the exponents.
Step 1.7.1.17.1
Move .
Step 1.7.1.17.2
Multiply by .
Step 1.7.1.18
Multiply by .
Step 1.7.1.19
Multiply by .
Step 1.7.1.20
Multiply by .
Step 1.7.1.21
Multiply by .
Step 1.7.1.22
Multiply by .
Step 1.7.1.23
Multiply .
Step 1.7.1.23.1
Multiply by .
Step 1.7.1.23.2
Raise to the power of .
Step 1.7.1.23.3
Raise to the power of .
Step 1.7.1.23.4
Use the power rule to combine exponents.
Step 1.7.1.23.5
Add and .
Step 1.7.1.24
Rewrite as .
Step 1.7.1.25
Multiply by .
Step 1.7.2
Simplify by adding terms.
Step 1.7.2.1
Combine the opposite terms in .
Step 1.7.2.1.1
Reorder the factors in the terms and .
Step 1.7.2.1.2
Add and .
Step 1.7.2.1.3
Add and .
Step 1.7.2.1.4
Subtract from .
Step 1.7.2.1.5
Add and .
Step 1.7.2.2
Subtract from .
Step 1.7.2.3
Add and .
Step 1.7.2.4
Add and .
Step 1.7.2.5
Subtract from .
Step 1.7.2.6
Combine the opposite terms in .
Step 1.7.2.6.1
Subtract from .
Step 1.7.2.6.2
Add and .
Step 1.7.2.7
Subtract from .
Step 1.7.2.8
Combine the opposite terms in .
Step 1.7.2.8.1
Reorder the factors in the terms and .
Step 1.7.2.8.2
Add and .
Step 1.7.2.8.3
Add and .
Step 1.7.2.9
Subtract from .
Step 1.7.2.10
Subtract from .
Step 1.7.2.11
Add and .
Step 2
The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be or . In this case, The degree of is , which makes the function a nonlinear function.
is not a linear function