Question

How do you convert `2x + 3y = 6` into polar form?

Answer 1

`r(2cos(theta)+3sin(theta))=6`

Explanation:

In converting for rectangular to polar form:
`color(white)("XXX")x rarr r*cos(theta)`
`color(white)("XXX")y rarr r*sin(theta)`

So `2x+3y=6`

`rarr 2(r*cos(theta))+3(r*sin(theta))=6`

`rarr r(2cos(theta)+3sin(theta))=6`