SOLUTION: Convert (0,3) to polar coordinates. so far: tan theta=y/x=3/0=0 r^2=x^2+y^2 Where do I go from here?

Algebra ->  Coordinate-system -> SOLUTION: Convert (0,3) to polar coordinates. so far: tan theta=y/x=3/0=0 r^2=x^2+y^2 Where do I go from here?      Log On


   

Question 191875This question is from textbook saxon algebra 2
: Convert (0,3) to polar coordinates.
so far: tan theta=y/x=3/0=0
r^2=x^2+y^2
Where do I go from here? This question is from textbook saxon algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, you CANNOT divide by zero. So 3%2F0%3C%3E0, 3%2F0 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%2F2 radians)


Now, let's find the radius "r"


r%5E2=x%5E2%2By%5E2 Start with the given formula


r%5E2=0%5E2%2B3%5E2 Plug in x=0 and y=3 which are the coordinates to (0,3)


r%5E2=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: