Question

This is one of my homework questions, please help me work through it if you can :)

Answer 1

`(3,0)`

1) Note that we'll make use of the following formulas:

`\begin{gathered} r^2=x^2+y^2 \\ r^2=3^2+0^2 \\ r^2=9 \\ \sqrt[]{r}=\sqrt[]{9} \\ r=-3,3 \\ r=3 \end{gathered}`

So the radius according to the text must be positive, so we can discard the negative value.

2) Now the angle theta:

Since this is undefined, we can state that

3) So we can state the Polar Coordinates as:

`P(3,0)`