# Find the Quadrant of the Angle sin(150)

Find the Quadrant of the Angle sin(150)
Convert the radian measure to degrees.
To convert radians to degrees, multiply by , since a full circle is or radians.
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
is approximately equal to .
Convert to a decimal.
The angle is in the first quadrant.