Question
Show that the curve with parametric equations $x=t \cos t$, $y=t \sin t, z=t$ lies on the cone $z^2=x^2+y^2$, and use this fact to help sketch the curve.
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Step 1: Let's verify that the curve with parametric equations $x=t \cos t$, $y=t \sin t$, $z=t$ lies on the cone $z^2=x^2+y^2$. Show more…
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Show that the curve with parametric equations $x=t \cos t$ $y=t \sin t, z=t$ lies on the cone $z^{2}=x^{2}+y^{2},$ and use this fact to help sketch the curve.
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