So, as I earlier said in my previous note, here's the wiki on Generalizing The Circular Functions
The basic idea behind this wiki s to demonstrate that how can we evaluate inverse trigonometric functions outside their domain using complex analysis.
I dub this wiki as "Generalizing The Circular Functions" because the formula presented in the wiki can help you evaluate the principal value of a trigonometric function for all complex valued \(x\). Therefore, I think of it as a general formula for the trig functions. And thus, the title.
Any suggestions are highly appreciated.