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I was using matlab to plot these equations x=a*(theta+sin(theta)); y=a*(1+cos(theta)) which happen to be equation of Cycloid When I plotted it taking theta in radians enter image description here I got this plot While on the other hand using theta in degrees enter image description here

Can anyone explain me why is there such variation and which one is the real cycloid? Thank you.

Newton Nadar
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    It's the radians' one. The second is a different curve, essentially the cycloid curve with an added $x$ term, i.e. $(x_c,y_c)+a(56.3 \theta,0)$. – Chrystomath Jun 30 '20 at 09:04
  • But I have seen a book where a cam- follower profile called cycloid but is the second graph? – Newton Nadar Jun 30 '20 at 11:21

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