Find the Quadrant of the Angle pi/6

Problem

π/6

Solution

1. Identify the angle in radians. The given angle is π/6

2. Convert the angle to degrees if necessary to visualize the position. Since π radians is equal to 180^∘ we calculate 180^∘/6=30^∘

3. Determine the standard 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/6<π/2 the angle lies within the first quadrant.

Final Answer

π/6∈Quadrant I

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