# Riemann Surfaces of Inverses of Sums of Two Trigonometric Functions

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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.

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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

## Snapshots

## Details

Closedâform representation of these inverse functions can be given (say by using in *Mathematica*), but they can be quite complicated.

For instance (in shortened form):