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?

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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)   (Show Source): You can put this solution on YOUR website!
Remember, you CANNOT divide by zero. So , 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 radians)


Now, let's find the radius "r"


Start with the given formula


Plug in and which are the coordinates to (0,3)


Square and simplify


Take the square root of both sides


So the radius is 3 which means that the point (0,3) in polar coordinates is:

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