Question

How do you convert `3x + 4y = 2` to polar form?

Answer 1

`2/(3costheta+4sintheta)`

Explanation:

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

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(x=rcostheta , y=rsintheta)color(white)(2/2)|)))`

substitute into the equation.

`rArr3rcostheta+4rsintheta=2`

`rArrr(3costheta+4sintheta)=2`

`rArrr=2/(3costheta+4sintheta)`