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Math Help - polar to rectangular equation

  1. #1
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    polar to rectangular equation

    r^2\sin2\vartheta=-2


    can someone help me solve this?
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  2. #2
    Senior Member eumyang's Avatar
    Joined
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    I assume you want to convert the polar equation into a rectangular one.
    r^2\sin 2\theta=-2

    Use the double angle identity:
    \begin{aligned}<br />
r^2 (2\sin \theta \cos \theta) &= -2 \\<br />
2(r \sin \theta)(r \cos \theta) &= -2 \\<br />
2yx &= -2 \\<br />
xy &= -1<br />
\end{aligned}
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