Trigonometry Examples

Expand the Trigonometric Expression cos(4x)
Step 1
Factor out of .
Step 2
Simplify each term.
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Step 2.1
Use the double-angle identity to transform to .
Step 2.2
Rewrite as .
Step 2.3
Expand using the FOIL Method.
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Step 2.3.1
Apply the distributive property.
Step 2.3.2
Apply the distributive property.
Step 2.3.3
Apply the distributive property.
Step 2.4
Simplify and combine like terms.
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Step 2.4.1
Simplify each term.
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Step 2.4.1.1
Rewrite using the commutative property of multiplication.
Step 2.4.1.2
Multiply by by adding the exponents.
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Step 2.4.1.2.1
Move .
Step 2.4.1.2.2
Use the power rule to combine exponents.
Step 2.4.1.2.3
Add and .
Step 2.4.1.3
Multiply by .
Step 2.4.1.4
Multiply by .
Step 2.4.1.5
Multiply by .
Step 2.4.1.6
Multiply by .
Step 2.4.2
Subtract from .
Step 2.5
Apply the distributive property.
Step 2.6
Simplify.
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Step 2.6.1
Multiply by .
Step 2.6.2
Multiply by .
Step 2.6.3
Multiply by .
Step 3
Subtract from .