How do you convert $r = 2 sin θ$ $r=2sin theta$ to rectangular form?

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Answer 1 · 2016-04-06T02:48:06

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

Multiply both sides by r.
$r^{2} = 2 (r sin θ)$ $r^2=2(r sin theta)$
$r^{2} = x^{2} + y^{2} and r sin θ = y$ $r^2=x^2+y^2 and r sin theta = y$ .

How do you convert r=2sin thetar=2sinθr=2sin theta to rectangular form?