>>11889904Technically the guy who posted this was being a smartass because this is really more of an identity for elliptic functions.
The idea is This identity is pretty much down to this relation, using the fact that is a singular value of the elliptic modulus, and when you have these singular values which are typically denoted then you can express and so on in terms of the gamma function. A fuckload of their special values are tabulated like this.
So from that first identity, what you then do is write down the Fourier series of dn, which is just
and then lastly you "remember" (or look up on a table which is what I did) that and and then you can finish up by setting and in the first identity for nd I posted.
Sorry if some of this is a bit unclear, I keep getting connection error and it's hard to see my full post as I'm typing it.
