Trigonometry Examples

Find the Quadrant of the Angle (16pi)/3
Step 1
Convert the radian measure to degrees.
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Step 1.1
To convert radians to degrees, multiply by , since a full circle is or radians.
Step 1.2
Cancel the common factor of .
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 1.3
Cancel the common factor of .
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Step 1.3.1
Factor out of .
Step 1.3.2
Cancel the common factor.
Step 1.3.3
Rewrite the expression.
Step 1.4
Multiply by .
Step 1.5
Convert to a decimal.
Step 2
For angles greater than , subtract from the angle until the angle is less than .
Step 3
The angle is in the third quadrant.
Quadrant
Step 4