If your browser can handle JAVA code, click HERE to experiment interactively with this curve and its associated curves. Sinusoidal spirals can have any rational number p in the formula above.
Many standard curves occur as sinusoidal spirals.
Sinusoidal spirals were first studied by Maclaurin . They are not, of course, true spirals. The pedal curve of sinusoidal spirals, when the pedal point is the pole, is another sinusoidal spiral.