Find the Reference Angle (5pi)/4

Problem

(5*π)/4

Solution

1. Identify the quadrant in which the angle θ=(5*π)/4 lies. Since π<(5*π)/4<(3*π)/2 the angle is 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′=(5*π)/4−π

4. Simplify the expression by finding a common denominator.

θ′=(5*π)/4−(4*π)/4

θ′=π/4

Final Answer

Reference Angle of (5*π)/4=π/4

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