Convert to Polar Coordinates (0,-3)

Problem

(0,−3)

Solution

1. Identify the Cartesian coordinates (x,y) where x=0 and y=−3

2. Calculate the radial distance r using the formula r=√(,x2+y2)

r=√(,0+(−3)2)

r=√(,9)

r=3

3. Determine the angle θ by observing the position of the point on the Cartesian plane. Since the point (0,−3) lies on the negative y-axis, the angle is 270 or (3*π)/2 radians.

θ=(3*π)/2

4. Express the result in the polar coordinate form (r,θ)

Final Answer

(0,−3)=(3,(3*π)/2)

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