Riemann Surfaces of Inverses of Sums of Two Trigonometric Functions
The graphic shows some sheets of the Riemann surface of for inverses of sums of trigonometric functions and . For purely real or imaginary parts ( or ), multiple sheets can degenerate into a single sheet.[more]
Contributed by: Michael Trott with permission of Springer (March 2011)
From: The Mathematica Guidebook for Programming, second edition by Michael Trott (© Springer, 2008).
Open content licensed under CC BY-NC-SA
Closed‐form representation of these inverse functions can be given (say by using in Mathematica), but they can be quite complicated.
For instance (in shortened form):