Question

How do you convert the Cartesian coordinates (-9,-4) to polar coordinates?

Answer 1

Polar coordinates are `(sqrt 97,203.96^0)`

Explanation:

Rectangular coordinates :`(x,y)=(-9,-4)`

`r=sqrt(x^2+y^2) = sqrt (81+16) =sqrt 97 ; tan alpha=|y/x|=4/9`

`:. alpha=tan^-1(4/9)=23.96^0` Since :`(-9,-4)` lies on 3rd

quadrant `theta=180+alpha=(180+23.96)=203.96^0`

Hence Polar coordinates are `(r,theta)` or

`(sqrt 97,203.96^0)` [Ans]