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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