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stira [4]
2 years ago
7

Xy=1 in polar coordinates

Mathematics
2 answers:
Marianna [84]2 years ago
8 0
xy=1\iff (r\cos\theta)(r\sin\theta)=r^2\sin\theta\cos\theta=\dfrac12r^2\sin2\theta=1
\implies r^2=2\csc2\theta
\implies r=\sqrt{2\csc2\theta}

where we ignore the second root and use the convention that r>0.
Goshia [24]2 years ago
3 0

Answer:

The answer is r^2 * sin 2(theta) = 2!

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