Find the Quadrant (3,pi/3)

Problem

(3,π/3)

Solution

1. Identify the given coordinates as polar coordinates (r,θ) where r=3 and θ=π/3

2. Determine the value of the angle θ in degrees to visualize the position.

θ=π/3⋅180/π

θ=60

3. Locate the quadrant based on the standard angle ranges: Quadrant I (0<θ<90, Quadrant II (90<θ<180, Quadrant III (180<θ<270, and Quadrant IV (270<θ<360.

4. Conclude that since 60 falls between 0 and 90 and the radius r is positive, the point lies in the first quadrant.

Final Answer

(3,π/3)⇒Quadrant I

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