How do you convert $r = 2sint$ into a rectangular equation?

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Answer 1 · 2015-11-27T19:18:34

$x^2+y^2-2y=0$

Multiply both sides by $r$ :

$r^2 = 2rsin(t)$ .

Since $r=sqrt(x^2+y^2)$ and $y=rsin(t)$ , the equation becomes

$x^2+y^2 = 2y$ , which you can rewrite as $x^2+y^2-2y=0$

How do you convert r = 2sint r = 2sint into a rectangular equation?