Find the Reference Angle -225

Problem

−225^∘

Solution

1. Find a coterminal angle between 0^∘ and 360^∘ by adding 360^∘ to the given angle.

−225^∘+360^∘=135^∘

2. Identify the quadrant where the terminal side of the angle lies. Since 135^∘ is between 90^∘ and 180^∘ the angle is in Quadrant II.

90^∘<135^∘<180^∘

3. Apply the reference angle formula for Quadrant II, which is θ^′=180^∘−θ

θ^′=180^∘−135^∘

4. Calculate the final value of the reference angle.

180^∘−135^∘=45^∘

Final Answer

Reference Angle of −225^∘=45^∘

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