I've still not seen them outside of the small plot given by wolframalpha.com
I'm going to try posting these on Wikipedia, along with each plot and the formulas written with no trig functions, just in terms of e, and i.
This time I might try posting to the talk page 1st, they might even let me...
i wander what they all look like superimposed on each other.
How many are there?
cos(x)/cos(1/y)=sin(1/x)/sin(y)
cos(x)/cos(1/y)=sin(y)/sin(1/x)
cos(x)/sin(1/x)=sin(y)/cos(1/y)
cos(x)/sin(1/x)=cos(1/y)/sin(y)
cos(x)/sin(y)=cos(1/y)/sin(1/x)
cos(x)/sin(y)=sin(1/x)/cos(1/y)...
All of them. Don't know about Euler's identity, but this looks a bit like the fingerprint of the universe:
https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-ash4/400225_10151029543626116_786265305_n.jpg
I have never seen anything this strange come from a relatively simple trigaonametric...
Getting a little bit complicated now, but plot here: http://wolfr.am/VkwFv8 is truly bizarre?
I now need better software on my computer as would like more detailed plot and the simple online tool will only plot in terms of y= ...
I don't fancy finding y from that equation! I must get back to...
Oh, and a nicer online graph plot of the function/equation:
cos(x)/sin(1/x)
or also written as:
-(i (e^(-i x)+e^(i x)))/(e^(-i/x)-e^(i/x))
see: http://fooplot.com/plot/5afahic6zv for zoom-in-able visualisation
there are some interference pattern effects to be wary of with the...
I probably should have considered this for longer before posting this somewhere such as here. I did write an explanation of why I thought this may be a more general case for Euler's identity, but my maths has not been tested for some time and I cannot coherently communicate my arguments which...