This is sound stupid but it is real happening to me. I have an engine model with the cylinder volume equation:
V_cyl = V_min*(1 + 1/2*(V_max/V_min - 1)*(l/a + 1 - cos(theta) - ((l/a)^2 - sin(theta)^2)^(1/2)))
I have a problem to calculate the 'theta', for any 'V_cyl' value. Can anyone advise me on how to inverse the above equation? I used the Maple software to solve for 'theta' but it gives the wrong solution (I recalculate the 'theta' using the above equation, it does not give back the 'V_cyl').