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

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Answer 1 · 2017-01-24T23:13:04

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

(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:

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.

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