Mathematics
Jeane811
2017-08-20 19:38:15
xy=1 in polar coordinates
ANSWERS
pkhon24
2017-08-20 20:57:54

[latex]xy=1iff (rcos heta)(rsin heta)=r^2sin hetacos heta=dfrac12r^2sin2 heta=1[/latex] [latex]implies r^2=2csc2 heta[/latex] [latex]implies r=sqrt{2csc2 heta}[/latex] where we ignore the second root and use the convention that [latex]r>0[/latex].

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