Find the Quadrant of the Angle 60 degrees

Problem

60^∘

Solution

1. Identify the standard coordinate system for angles, where the positive x-axis represents 0^∘ and angles increase in a counter-clockwise direction.

2. Recall the degree ranges for each of the four quadrants: Quadrant I is 0^∘<θ<90^∘ Quadrant II is 90^∘<θ<180^∘ Quadrant III is 180^∘<θ<270^∘ and Quadrant IV is 270^∘<θ<360^∘

3. Compare the given angle 60^∘ to these ranges.

4. Determine that since 0^∘<60^∘<90^∘ the angle lies within the first quadrant.

Final Answer

Quadrant of *60^∘=Quadrant I

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