Find the Quadrant of the Angle pi/3

Problem

π/3

Solution

1. Identify the angle in radians. The given angle is π/3

2. Convert the angle to degrees if necessary to visualize the position. Since π radians is equal to 180 we calculate 180/3=60

3. Determine the quadrant boundaries. Quadrant I contains angles between 0 and π/2 radians (0 and 90.

4. Compare the given angle to the boundaries. Since 0<π/3<π/2 the angle lies in the first quadrant.

Final Answer

π/3∈Quadrant I

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