Find the Reference Angle (9pi)/10

Problem

(9*π)/10

Solution

1. Identify the quadrant in which the given angle θ=(9*π)/10 lies. Since π/2<(9*π)/10<π the angle is in Quadrant II.

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

3. Substitute the value of θ into the formula.

θ^′=π−(9*π)/10

4. Simplify the expression by finding a common denominator.

θ^′=(10*π)/10−(9*π)/10

θ^′=π/10

Final Answer

θ^′=π/10

Want more problems? Check here!