Question

How do you convert `2x+y=5` to polar form?

Answer 1

`r=5/(2costheta+sintheta)`

Explanation:

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

`color(red)(|bar(ul(color(white)(a/a)color(black)(x=rcostheta , y=rsintheta)color(white)(a/a)|)))`
and substituting into the equation.

`2(rcostheta)+rsintheta=5`

`rArr2rcostheta+rsintheta=5`

`rArrr(2costheta+sintheta)=5`

`rArrr=5/(2costheta+sintheta)" is the polar form"`