Find the Reference Angle (3pi)/4

Problem

(3*π)/4

Solution

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

4. Simplify the expression by finding a common denominator.

θ′=(4*π)/4−(3*π)/4

θ′=π/4

Final Answer

θ′=π/4

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