Find the Reference Angle pi/2

Problem

π/2

Solution

1. Identify the given angle θ=π/2 and determine its position on the unit circle.

2. Recall the definition of a reference angle θ′ which is the acute angle formed by the terminal side of θ and the xaxis.

3. Determine the quadrant of the angle. Since π/2 is exactly 90 it is a quadrantal angle located on the positive yaxis.

4. Calculate the distance to the nearest part of the xaxis. The angle π/2 is equidistant from the positive and negative xaxis at an angle of π/2 radians.

Final Answer

θ′=π/2

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