Find the Reference Angle 230

Problem

230

Solution

1. Identify the quadrant in which the given angle 230 lies. Since 180<230<270 the angle is in the third quadrant.

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

3. Substitute the given angle into the formula: 230−180

4. Subtract the values to find the reference angle.

Final Answer

θ′=230−180=50

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