Question

How do you convert `X+2Y-4=0` into polar form?

Answer 1

Please see the explanation.

Explanation:

Substitute `rcos(theta)` for x and `rsin(theta)` for y:

`rcos(theta) + 2rsin(theta) - 4 = 0`

Move 4 to the right side and factor out r on the left:

`r(cos(theta) + 2sin(theta)) = 4`

Divide both sides by `(cos(theta) + 2sin(theta))`

`r = 4/(cos(theta) + 2sin(theta))`