Trigonometry Examples

Evaluate 2sin(45)^2
Step 1
The exact value of is .
Step 2
Apply the product rule to .
Step 3
Rewrite as .
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Step 3.1
Use to rewrite as .
Step 3.2
Apply the power rule and multiply exponents, .
Step 3.3
Combine and .
Step 3.4
Cancel the common factor of .
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Step 3.4.1
Cancel the common factor.
Step 3.4.2
Rewrite the expression.
Step 3.5
Evaluate the exponent.
Step 4
Raise to the power of .
Step 5
Cancel the common factor of .
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Step 5.1
Factor out of .
Step 5.2
Cancel the common factor.
Step 5.3
Rewrite the expression.
Step 6
Divide by .