How do you convert $(r^2)(sin2theta)=2$ into cartesian form?

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Answer 1 · 2016-07-01T21:52:17

$y = 1/x$

$(r^2)(sin2theta)=2$

frim trig we know that

$sin 2 theta = 2 sin theta cos theta$

and in polar coords
$= 2* y/r* x/r = 2 (xy)/r^2$

so $(r^2)( 2 (xy)/r^2)=2$

$\implies xy = 1$ or $y = 1/x$

How do you convert (r^2)(sin2theta)=2(r^2)(sin2theta)=2 into cartesian form?