Find the Reference Angle (11pi)/4

Problem

(11*π)/4

Solution

1. Find the coterminal angle within the range [0,2*π) by subtracting multiples of 2*π

(11*π)/4−2*π=(11*π)/4−(8*π)/4

(11*π)/4−(8*π)/4=(3*π)/4

2. Identify the quadrant for the angle (3*π)/4 Since π/2<(3*π)/4<π the angle lies in Quadrant II.

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

θ′=π−(3*π)/4

4. Simplify the expression to find the final reference angle.

θ′=(4*π)/4−(3*π)/4=π/4

Final Answer

Reference Angle of (11*π)/4=π/4

Want more problems? Check here!