There are two following equations
\[Sigma] =
ArcCos [\[Omega]/(
Sin [\[Theta] - \[Omega] \[Tau]] \[Epsilon] Sqrt[(1 + \[Alpha]^2)])]
\[CapitalDelta] =
2 Cos [\[Theta] - \[Omega] \[Tau]] \[Epsilon] Sqrt[(1 + \[Alpha]^2)]
Sin[\[Sigma]];
The parameter values are
\[Theta] = \[Pi]/4; \[Tau] = 13.33; \[Epsilon] = 0.021; \[Alpha] = 1;
I need to plot
\[Omega] \[Tau] vs `\[CapitalDelta] \[Tau]`
However as given in the notebook I am not getting the complete plot, it may be because there is a general solution for ArcCos[x], but I cannot understand how to include the general solution here. Kindly suggest.