Find the Reference Angle 105 degrees

Problem

105

Solution

1. Identify the quadrant in which the given angle θ=105 lies. Since 90<105<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 to calculate the result.

4. Subtract the values: 180−105=75

Final Answer

θ′=75

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