Find the Reference Angle (5pi)/7

Problem

(5*π)/7

Solution

1. Determine the quadrant of the given angle θ=(5*π)/7 Since π/2<(5*π)/7<π the angle lies in Quadrant II.

2. Apply the formula for the reference angle θ′ in Quadrant II. The reference angle is the positive acute angle formed with the x-axis.

3. Calculate the difference between π and the given angle.

θ′=π−θ

4. Substitute the value of θ into the formula.

θ′=π−(5*π)/7

5. Find a common denominator to perform the subtraction.

θ′=(7*π)/7−(5*π)/7

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

θ′=(2*π)/7

Final Answer

θ′=(2*π)/7

Want more problems? Check here!