Convert to Polar Coordinates (3,2)

Problem

(3,2)

Solution

1. Identify the rectangular coordinates (x,y) where x=3 and y=2

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

r=√(,3+2)

r=√(,9+4)

r=√(,13)

3. Calculate the angular coordinate θ using the formula θ=arctan(y/x) Since the point is in the first quadrant, no adjustment is needed.

θ=arctan(2/3)

4. Approximate the value of θ if necessary.

θ≈0.588* radians

θ≈33.69

Final Answer

(3,2)=(√(,13),arctan(2/3))

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