Trigonometry Examples

Simplify (cos(30)^2)^2(30)-sin(-60)
Step 1
Multiply the exponents in .
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Step 1.1
Apply the power rule and multiply exponents, .
Step 1.2
Multiply by .
Step 2
The exact value of is .
Step 3
Apply the product rule to .
Step 4
Simplify the numerator.
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Step 4.1
Rewrite as .
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Step 4.1.1
Use to rewrite as .
Step 4.1.2
Apply the power rule and multiply exponents, .
Step 4.1.3
Combine and .
Step 4.1.4
Cancel the common factor of and .
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Step 4.1.4.1
Factor out of .
Step 4.1.4.2
Cancel the common factors.
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Step 4.1.4.2.1
Factor out of .
Step 4.1.4.2.2
Cancel the common factor.
Step 4.1.4.2.3
Rewrite the expression.
Step 4.1.4.2.4
Divide by .
Step 4.2
Raise to the power of .
Step 5
Raise to the power of .
Step 6
Cancel the common factor of .
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Step 6.1
Factor out of .
Step 6.2
Factor out of .
Step 6.3
Cancel the common factor.
Step 6.4
Rewrite the expression.
Step 7
Combine and .
Step 8
Multiply by .
Step 9
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.
Step 10
The exact value of is .
Step 11
Multiply .
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Step 11.1
Multiply by .
Step 11.2
Multiply by .
Step 12
The result can be shown in multiple forms.
Exact Form:
Decimal Form: