Find the Quadrant of the Angle pi/5

Problem

π/5

Solution

1. Identify the range of angles for each quadrant in radians.

2. Recall that Quadrant I consists of angles between 0 and π/2

3. Compare the given angle π/5 to the boundary π/2

4. Determine the relationship by finding a common denominator: π/5=(2*π)/10 and π/2=(5*π)/10

5. Conclude that since 0<(2*π)/10<(5*π)/10 the angle lies in the first quadrant.

Final Answer

π/5∈Quadrant I

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