## Sinusoidal spirals (polar)

Sinusoidal spirals are a family of plane curves.

For many values of a the spiral coincides with another curve:

Line (n = −1)

Circle (n = 1)

Hyperbola (n = −2)

Parabola (n = −1/2)

Cardioid (n = 1/2)

Lemniscate (n = 2)

Tschirnhausen cubic (n = −1/3)

Get copyable formulas for Sinusoidal spirals (polar) from Differential Geometry Library (MathML, TeX, Mathematica input, Maple input)