Find a Cartesian equation for the curve and identify it. r2 cos(2θ) = 1
Added by Kathleen W.
Step 1
We want to eliminate $r$ and $\theta$ from the given equation to get a Cartesian equation. We have $r^2 \cos(2\theta) = 1$. We can rewrite $\cos(2\theta)$ as $2\cos^2(\theta) - 1$ using the double angle formula. So, we get: $r^2 (2\cos^2(\theta) - 1) = 1$ Now, Show more…
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