Find the Reference Angle 270 degrees

Problem

270^∘

Solution

1. Identify the quadrant in which the given angle θ=270^∘ lies.

2. Determine the position of the terminal side, noting that 270^∘ is a quadrantal angle located on the negative y-axis.

3. Apply the definition of a reference angle, which is the acute angle formed between the terminal side and the x-axis.

4. Calculate the distance from the terminal side at 270^∘ to the nearest part of the x-axis (180^∘ or 360^∘.

5. Subtract to find the angle: 270^∘−180^∘=90^∘ or 360^∘−270^∘=90^∘

Final Answer

Reference Angle of *270^∘=90^∘

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