Sinusoidal Spiral Inverse Curve

Author

Eric W. Weisstein
March 16, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PlaneCurves/SinusoidalSpiralInverseCurve.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/SinusoidalSpiralInverseCurve.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Equation

inv=FullSimplify[InverseCurve[{Cos[t]Cos[n t]^(1/n),Sin[t]Cos[n t]^(1/n)},{0,0,k},t]]

FullSimplify[Sqrt[#.#]&[inv],k>0&&(n|t)∈Reals]