the coordinates of cycloide are(adsbygoogle = window.adsbygoogle || []).push({});

##x= a (\theta- sin \theta)##

##y= a(cos \theta -1)##

If i use ##\theta =\omega t## this is a example of cycloid

but, if i use ##\theta=\cos (\omega t)##, ¿this is a cycloid?

My teacher says that in a cycloid pendulum ##\theta## must be oscillatory, but i think that if ##\theta=\cos \omega t## then, this is not cycloid.

Also the dynamics of the pendulum on the cycloid is oscillatory, but, the ##x= a (\theta- sin \theta)## is not oscillatory.

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# Coordinates of a cycloide

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