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Trigonometry Examples
Step 1
To convert degrees to radians, multiply by , since a full circle is or radians.
Step 2
Add full rotations of ° until the angle is between ° and °.
radians
Step 3
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
radians
Step 4
The exact value of is .
radians
Step 5
Step 5.1
Factor out of .
radians
Step 5.2
Cancel the common factor.
radians
Step 5.3
Rewrite the expression.
radians
radians
Step 6
Multiply by .
radians
Step 7
Move to the left of .
radians
Step 8
Multiply by .
radians
Step 9
Step 9.1
Multiply by .
radians
Step 9.2
Move .
radians
Step 9.3
Raise to the power of .
radians
Step 9.4
Raise to the power of .
radians
Step 9.5
Use the power rule to combine exponents.
radians
Step 9.6
Add and .
radians
Step 9.7
Rewrite as .
Step 9.7.1
Use to rewrite as .
radians
Step 9.7.2
Apply the power rule and multiply exponents, .
radians
Step 9.7.3
Combine and .
radians
Step 9.7.4
Cancel the common factor of .
Step 9.7.4.1
Cancel the common factor.
radians
Step 9.7.4.2
Rewrite the expression.
radians
radians
Step 9.7.5
Evaluate the exponent.
radians
radians
radians
Step 10
Multiply by .
radians