Question

How do you convert `2y - 3x = 2` to polar form?

Answer 1

`r=2/(2sintheta-3costheta)`

Explanation:

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

`color(orange)"Reminder"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(x=rcostheta , y=rsintheta)color(white)(a/a)|)))`

`rArr2(color(red)(rsintheta))-3(color(red)(rcostheta))=2`

`rArr2rsintheta-3rcostheta=2`

`rArrr(2sintheta-3costheta)=2`

`rArrr=2/(2sintheta-3costheta)`