Question 191875
Remember, you CANNOT divide by zero. So {{{3/0<>0}}}, {{{3/0}}} is undefined. It turns out that when the argument for the arctangent is undefined, this means that the angle is either 90 degrees or 270 degrees. Because the y coordinate is positive, this means that the angle theta is 90 degrees (or {{{pi/2}}} radians)



Now, let's find the radius "r"



{{{r^2=x^2+y^2}}} Start with the given formula



{{{r^2=0^2+3^2}}} Plug in {{{x=0}}} and {{{y=3}}} which are the coordinates to (0,3)



{{{r^2=9}}} Square and simplify



{{{r=3}}} Take the square root of both sides



So the radius is 3 which means that the point (0,3) in polar coordinates is: *[Tex \LARGE \left(3,90^{\circ}\right)]