Find the Quadrant of the Angle 210 degrees

Problem

210^∘

Solution

1. Identify the standard ranges for each quadrant in the coordinate plane.

(Q_I):0^∘<θ<90^∘

(Q_I*I):90^∘<θ<180^∘

(Q_I*I*I):180^∘<θ<270^∘

(Q_I*V):270^∘<θ<360^∘

2. Compare the given angle 210^∘ to these standard ranges.

180^∘<210^∘<270^∘

3. Determine the quadrant based on the comparison. Since the angle falls between 180^∘ and 270^∘ it lies in the third quadrant.

Final Answer

Quadrant of *210^∘=Quadrant III

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