Question

How do you convert `r = 4csc(x)` into cartesian form?

Answer 1

Assuming the equation was `r=4csctheta`, the rectangular form is `y=4`.

Explanation:

(Assuming that the equation you meant is `r=4csctheta`, since polar equations use `r` and `theta`.)

When converting from polar to rectangular, it's important to know that:

• `x=rcostheta`
• `y=rsintheta`

The equation can be rewritten using `csctheta=1/sintheta` and then multiplying both sides by `sintheta`:

`r=4csctheta" "=>" "r=4/sintheta" "=>" "rsintheta=4`

With the identity from before:

`y=4`

which is a horizontal line.