Find the Quadrant of the Angle pi/2

Problem

π/2

Solution

1. Identify the angle in standard position. The angle π/2 is measured in radians.

2. Convert the angle to degrees if necessary to visualize its position. Since π radians equals 180 we calculate 180/2=90

3. Determine the location of the terminal side. An angle of 90 (or π/2 radians) lies exactly on the positive y-axis.

4. Conclude that because the terminal side lies on an axis, it does not fall within any of the four quadrants. Such angles are called quadrantal angles.

Final Answer

π/2=Quadrantal angle (between Quadrant I and Quadrant II)

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