Find the Reference Angle 165

Problem

165

Solution

1. Identify the quadrant in which the given angle θ=165 lies. Since 90<165<180 the angle is in Quadrant II.

2. Apply the formula for the reference angle θ′ in Quadrant II, which is θ′=180−θ

3. Substitute the value of the angle into the formula: θ′=180−165

4. Subtract the values to find the reference angle.

Final Answer

θ′=15

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