Find the Reference Angle (13pi)/12

Problem

(13*π)/12

Solution

1. Determine the quadrant of the given angle by comparing it to the axes.

π<(13*π)/12<(3*π)/2

Since the angle is between π and (3*π)/2 it lies in Quadrant III.

2. Apply the reference angle formula for Quadrant III, which is θ′=θ−π

θ′=(13*π)/12−π

3. Find a common denominator to perform the subtraction.

θ′=(13*π)/12−(12*π)/12

4. Subtract the values to find the reference angle.

θ′=π/12

Final Answer

θ′=π/12

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