Question

How do you express the Cartesian coordinates (4, 0) as polar coordinates?

Answer 1

`(4,0)`

Explanation:

To convert from `color(blue)"cartesian to polar"`

`"that is " (x,y)to(r,theta)" where"`

`• r=sqrt(x^2+y^2)`

`• theta=tan^-1(y/x); -pi< theta <= pi`

`"here " x=4" and " y=0`

`rArrr=sqrt(4^2+0^2)=4`

`theta=tan^-1(0)=0`

`rArr(4,0)to(4,0)`