Question

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

Answer 1

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

Explanation:

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`.