Find the Reference Angle 225

Problem

225^∘

Solution

1. Identify the quadrant in which the given angle θ=225^∘ lies. Since 180^∘<225^∘<270^∘ the angle is in Quadrant III.

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

3. Subtract the values to find the reference angle.

225^∘−180^∘=45^∘

Final Answer

θ^′=45^∘

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