Trigonometry Examples

Find the Quadrant of the Angle 28/40
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
Factor out of .
Step 1.2.3
Cancel the common factor.
Step 1.2.4
Rewrite the expression.
Step 1.3
Multiply by .
Step 1.4
Multiply by .
Step 1.5
Cancel the common factor of and .
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Step 1.5.1
Factor out of .
Step 1.5.2
Cancel the common factors.
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Step 1.5.2.1
Factor out of .
Step 1.5.2.2
Cancel the common factor.
Step 1.5.2.3
Rewrite the expression.
Step 1.6
is approximately equal to .
Step 1.7
Convert to a decimal.
Step 2
The angle is in the first quadrant.
Quadrant
Step 3