f(t) = (a+A*sin(wt + c))/(b+A*cos(wt + c))

d/dt atan(f(t)) = w

(a,b,c,w,A are constants)

t = time

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Numeric Simulation can show validty of the shown equality.

The way I went so far: 

if d/dt atan(f(t)) = w  is true, 

atan(f(t)) = wt + c , (where c is a constant)

but the problem now is to show, that

f(t) can be expressed in the form  "wt + c"

Any help will be appreciated

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