Find the Reference Angle 90 degrees

Problem

90^∘

Solution

1. Identify the given angle θ=90^∘

2. Determine the quadrant in which the terminal side of the angle lies. The angle 90^∘ lies on the positive yaxis, which is the boundary between Quadrant I and Quadrant II.

3. Apply the definition of a reference angle θ^′ which is the acute angle formed by the terminal side of the angle and the xaxis.

4. Calculate the distance from the terminal side to the nearest part of the xaxis. For 90^∘ the distance to the xaxis (either 0^∘ or 180^∘ is exactly 90^∘

Final Answer

θ^′=90^∘

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