Hey, I'm wondering if anyone knows of a trig identity for arct(a/b) where a and b are rationals.
Hi, perhaps you can tell us what you're doing. That would provide a context to work in.Thanks for the reply. Although I can't find arctan(a/b), this is still very helpful for what I'm doing.
Well, arctan is defined for all real numbers. So no matter what a and b are, arctan(a/b) exists. Am I misunderstanding?I wanted to show that arctan(a/b) may be written in the form arctan(a*m)+arctan(b*n) (or something like that) as part of a proof Im writing for a project. The entire explanation is long winded and it would take some time to explain but basically if I know that (in my project) all arctan(a) and arctan(b) and any linear combination of those exist but I have yet to show if all arctan(a/b) exist or not which is why I was hoping for a trig identity that would neatly answer the question