Writing y value of Curtate Trochoid in the function of x?

Question

The parametric equations of a trochoid are

$x = Rt-d\sin(t)$

$y = R-d\cos(t)$

For $d < R$, there should be only one corresponding y value for every $x$ value.

So can we express this equation as a form of y(x)?

http://mathworld.wolfram.com/Trochoid.html

Answer 1

It's impossible to write $y=y(x)$ since this requires to solve the equation$$\sin t=at+b$$analytically for constants $a,b$ which is solvable only numerically.