Find the Quadrant (-4,-pi/2)

Problem

(−4,−π/2)

Solution

1. Identify the given polar coordinates (r,θ) where r=−4 and θ=−π/2

2. Locate the angle θ=−π/2 on the coordinate plane, which corresponds to the negative y-axis.

3. Apply the negative radius r=−4 by moving in the opposite direction of the angle θ

4. Determine the resulting position by moving 4 units from the origin along the positive y-axis.

5. Conclude that the point (0,4) lies on the positive y-axis, which is the boundary between Quadrant I and Quadrant II.

Final Answer

(−4,−π/2)=Positive y-axis (between Quadrant I and II)

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