for whatever point (x, y):
r= sqrt( x2+ y2 ) from pythagorean theorem.
basic trig function since the x and y axes are perpendicular to each other:
tan theta = y/x (opposite over adjacent)
theta = tan-1 (y/x)
(r, theta) ----> ( sqrt( x2+ y2 ), tan-1 (y/x) )
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You do not have to. You could use polar coordinates, if you prefer.
The abscissa in Cartesian coordinates. In polar coordinates, it would be the radius .or domain
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x2+y2=2y into polar coordinates When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized: r2=x2+y2 r*cos(theta)=x r*sin(theta)=y From these conversions, you can easily get the above Cartesian equation into polar coordinates: r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to: r=2sin(theta)
If cartesian coordinates are used then the second number in an ordered pair is the y coordinate, also known as the ordinate. If polar coordinates are used then the second number is the angle.