Question

How do you convert the rectangular equation `3y-5y=8` into polar form?

Answer 1

`r=-4csctheta`

Explanation:

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

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

and `color(red)(|bar(ul(color(white)(a/a)color(black)(csctheta=1/(sintheta)color(white)(a/a)|)))`

`3y-5y=8rArr-2y=8`

`rArr-2(color(red)(rsintheta))=8rArr-2rsintheta=8`

`rArrr=(8)/(-2sintheta)=(-4)/(sintheta)=-4csctheta`