How do you convert $r^2cos(2theta)=1$ into cartesian form?

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Answer 1 · 2016-08-29T12:51:47

$x^2-y^2=1$ .

The Gven Polar eqn. is $r^2cos 2theta=1$ , i.e.,

$r^2cos^2 theta -r^2sin^2 theta=1$

Since, $x=rcos theta. and, y=rsin theta$ , we get the cartesian eqn,

$x^2-y^2=1$ .

How do you convert r^2cos(2theta)=1r^2cos(2theta)=1 into cartesian form?