Find the Reference Angle 225 degrees

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. Substitute the value of θ into the formula to calculate the result.

4. Subtract the values: 225^∘−180^∘=45^∘

Final Answer

θ^′=225^∘−180^∘=45^∘

Want more problems? Check here!