Is it possible to prove identities involving arctan by complex exponentiation?
I had in mind something like the following for the arctan angle addition formula, but I feel there is something not quite right in the argument.
$$\arctan{(a)}+\arctan{(b)}=...
But, excuse my ignorance, doesn't the conjugate base have to be the conjugate of the acid used, so the acetic acid buffer would require acetate ions?
Sorry for misplacing this topic.
I was wonder how I might go about making a buffer solution.
I plan to choose an acid and conjugate base (or vice versa) for my chosen pH using the Henderson-Hasselbach equation. But, let's say I choose acetic acid. Should I just pour some acetic acid into a volume of water and let equilibrium...