Find the Reference Angle (11pi)/8

Problem

(11*π)/8

Solution

1. Identify the quadrant of the given angle θ=(11*π)/8 Since π<(11*π)/8<(3*π)/2 (or 1.375*π is between 1*π and 1.5*π, the angle lies in Quadrant III.

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

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

θ′=(11*π)/8−π

4. Find a common denominator to perform the subtraction.

θ′=(11*π)/8−(8*π)/8

5. Simplify the expression.

θ′=(3*π)/8

Final Answer

θ′=(3*π)/8

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