Trigonometry Examples

Convert to Rectangular (3cos(115)+isin(115))^4
Step 1
Use the Binomial Theorem.
Step 2
Simplify terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Apply the product rule to .
Step 2.1.2
Raise to the power of .
Step 2.1.3
Apply the product rule to .
Step 2.1.4
Raise to the power of .
Step 2.1.5
Multiply by .
Step 2.1.6
Apply the product rule to .
Step 2.1.7
Raise to the power of .
Step 2.1.8
Multiply by .
Step 2.1.9
Apply the product rule to .
Step 2.1.10
Rewrite as .
Step 2.1.11
Rewrite as .
Step 2.1.12
Multiply by .
Step 2.1.13
Multiply by .
Step 2.1.14
Apply the product rule to .
Step 2.1.15
Factor out .
Step 2.1.16
Rewrite as .
Step 2.1.17
Rewrite as .
Step 2.1.18
Multiply by .
Step 2.1.19
Apply the product rule to .
Step 2.1.20
Rewrite as .
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Step 2.1.20.1
Rewrite as .
Step 2.1.20.2
Rewrite as .
Step 2.1.20.3
Raise to the power of .
Step 2.1.21
Multiply by .
Step 2.2
Simplify the expression.
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Step 2.2.1
Reorder factors in .
Step 2.2.2
Reorder and .
Step 2.2.3
Reorder and .