Find the Reference Angle (9pi)/8

Problem

(9*π)/8

Solution

1. Determine the quadrant of the given angle (9*π)/8 Since π<(9*π)/8<(3*π)/2 the angle lies in the third quadrant.

2. Identify the formula for the reference angle θ′ in the third quadrant. For an angle θ in the third quadrant, the reference angle is θ′=θ−π

3. Subtract π from the given angle to find the reference angle.

θ′=(9*π)/8−π

4. Find a common denominator to perform the subtraction.

θ′=(9*π)/8−(8*π)/8

5. Simplify the expression.

θ′=π/8

Final Answer

θ′=π/8

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