Trigonometry Examples

Simplify sin(60)cos(30)+sin(30)cos(60)
Step 1
Simplify each term.
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Step 1.1
The exact value of is .
Step 1.2
The exact value of is .
Step 1.3
Multiply .
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Step 1.3.1
Multiply by .
Step 1.3.2
Raise to the power of .
Step 1.3.3
Raise to the power of .
Step 1.3.4
Use the power rule to combine exponents.
Step 1.3.5
Add and .
Step 1.3.6
Multiply by .
Step 1.4
Rewrite as .
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Step 1.4.1
Use to rewrite as .
Step 1.4.2
Apply the power rule and multiply exponents, .
Step 1.4.3
Combine and .
Step 1.4.4
Cancel the common factor of .
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Step 1.4.4.1
Cancel the common factor.
Step 1.4.4.2
Rewrite the expression.
Step 1.4.5
Evaluate the exponent.
Step 1.5
The exact value of is .
Step 1.6
The exact value of is .
Step 1.7
Multiply .
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Step 1.7.1
Multiply by .
Step 1.7.2
Multiply by .
Step 2
Combine fractions.
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Step 2.1
Combine the numerators over the common denominator.
Step 2.2
Simplify the expression.
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Step 2.2.1
Add and .
Step 2.2.2
Divide by .