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nikitadnepr [17]
3 years ago
8

Convert the Cartesian equation 2xy = 1 to a polar equation.

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0
\bf \textit{Double Angle Identities}
\\\\
sin(2\theta)=2sin(\theta)cos(\theta)\\\\
-------------------------------\\\\
\begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )
\end{cases}\qquad 2xy=1\implies 2rcos(\theta )rsin(\theta )=1
\\\\\\
r^2\cdot 2cos(\theta )sin(\theta )=1\implies r^2\cdot sin(2\theta )=1
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