Trigonometry Examples

Find the Quadrant of the Angle -pi/150
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
Move the leading negative in into the numerator.
Step 1.2.2
Factor out of .
Step 1.2.3
Cancel the common factor.
Step 1.2.4
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
Factor out of .
Step 1.3.3
Cancel the common factor.
Step 1.3.4
Rewrite the expression.
Step 1.4
Combine and .
Step 1.5
Simplify the expression.
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Step 1.5.1
Multiply by .
Step 1.5.2
Move the negative in front of the fraction.
Step 1.6
Convert to a decimal.
Step 2
For angles smaller than , add to the angle until the angle is larger than .
Step 3
The angle is in the fourth quadrant.
Quadrant
Step 4