Find the Reference Angle -(4pi)/3

Problem

−(4*π)/3

Solution

1. Find a coterminal angle in the interval [0,2*π) by adding 2*π to the given angle.

θ=−(4*π)/3+2*π

θ=−(4*π)/3+(6*π)/3

θ=(2*π)/3

2. Identify the quadrant where the angle (2*π)/3 terminates. Since π/2<(2*π)/3<π the angle is in Quadrant II.

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

θ′=π−(2*π)/3

4. Simplify the expression to find the reference angle.

θ′=(3*π)/3−(2*π)/3

θ′=π/3

Final Answer

θ′=π/3

Want more problems? Check here!