FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...
JacobiDS[u, m] gives the Jacobi elliptic function ds(u | m).
JacobiND[u, m] gives the Jacobi elliptic function nd(u | m).
JacobiSD[u, m] gives the Jacobi elliptic function sd(u | m).
Refine
(Built-in Mathematica Symbol) Refine[expr, assum] gives the form of expr that would be obtained if symbols in it were replaced by explicit numerical expressions satisfying the assumptions assum. ...
EllipticF[\[Phi], m] gives the elliptic integral of the first kind F(\[Phi] \[VerticalSeparator] m).
HarmonicMean[list] gives the harmonic mean of the values in list.
ArcCos
(Built-in Mathematica Symbol) ArcCos[z] gives the arc cosine cos -1 (z) of the complex number z.
ArcSin
(Built-in Mathematica Symbol) ArcSin[z] gives the arc sine sin -1 (z) of the complex number z.
BetaRegularized[z, a, b] gives the regularized incomplete beta function I_z (a, b).