- **Changed:** Cleanup of names in the Reals theory: replaced `tan_is_inj` with `tan_inj` and replaced `atan_right_inv` with `tan_atan` - compatibility notations are provided. Moved various auxiliary lemmas from `Ratan.v` to more appropriate places. (`#9803 `_, by Laurent Théry and Michael Soegtrop). - **Added:** to the Reals theory: inverse trigonometric functions `asin` and `acos` with lemmas for the derivatives, bounds and special values of these functions; an extensive set of identities between trigonometric functions and their inverse functions; lemmas for the injectivity of sine and cosine; lemmas on the derivative of the inverse of decreasing functions and on the derivative of horizontally mirrored functions; various generic auxiliary lemmas and definitions for Rsqr, sqrt, posreal an others. (`#9803 `_, by Laurent Théry and Michael Soegtrop).