Find the Quadrant of the Angle 300

Problem

300^∘

Solution

1. Identify the standard position of the angle, which starts at the positive x-axis (0^∘ and rotates counter-clockwise.

2. Compare the given angle to the boundaries of the four quadrants in a full 360^∘ rotation.

3. Determine the range for each quadrant: 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^∘

4. Locate the angle 300^∘ within these ranges. Since 270^∘<300^∘<360^∘ the angle lies in the fourth quadrant.

Final Answer

Quadrant of *300^∘=Quadrant IV

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