Books Recommendation that contains about Versine

Question

What is recommendations for the best books of trigonometry contain material about versine, coversine and other trigonometric functions that are rarely used, basic trigonometry, and concept about deriving Trigonometry identities?

Answer 1

There is one recent example I have seen that briefly treats the versed sine function, $\operatorname{vers} x$, and its inverse, $\operatorname{vers}^{-1} x$, as an exercise. See pages 167 and 168 of:

How to Integrate It: A practical guide to finding elementary integrals by S. Stewart (Cambridge University Press, 2018)

Here the derivatives of the $\operatorname{vers} x$ and $\operatorname{vers}^{-1} x$ are found, the indefinite integral that leads to $\operatorname{vers}^{-1} x$ considered, and $\operatorname{vers}^{-1} x$ expressed in terms of the inverse cosine function presented. Not much I know, but you may find it a helpful start.