Casio fx-CG50 - Hyperbolic functions of complex numbers

[Steve Simpkin]

(02-29-2020 08:37 AM)Dands Wrote:  

(02-29-2020 05:58 AM)Steve Simpkin Wrote:  In looking at Appendix 2 (Input ranges) of the fx-CG50 Software User's Guide, it appears that the CG50 will accept complex numbers for a number of functions (log, powers, roots, etc) but not for any trig functions.

One way around this limitation is to install Bernard Parisse's excellent port of Xcas for the fx-CG50 named KhiCAS. More information and documentation is available at: https://www.cemetech.net/forum/viewtopic...88&start=0

Once you install KhiCAS, you can evaluate cosh(2*i) for an answer of -.41614837 or sinh(2+2*i) for an answer of -1.50930649+3.42095489*i in that environment (rad).
Tip: press the "S<->D" key first to enter "approx(" before typing in "cosh(2*i))" to get a decimal answer.

Of course this is also a full featured CAS much like the one available on the Prime [ I wonder why ] so it can do a lot more than just these examples.

WOW! This is really amazing! Thank you so much for the quick answer. It's definitely a great solution for what I need.

It would be amazing if it integrated with the run-matrix mode. Do you know if there's a way to save the most used functions, say cosh, so that it's easier to access? It seems that I always have to find it in the list or type it.

Also, is there a way to show the decimal approximation by default instead of always using approx() before the functions?

Thanks again!

Unfortunately I don't see a quick shortcut for entering the hyperbolic functions. I have been pressing the normal trig key (sin, cos, tan, etc) then left cursor, F5 (A<->a), h, Alpha (to turn off Alpha lock), right cursor. Not very elegant.

I also don't see a way to force approximate answers without entering the "approx(" first. At least there is a shortcut key for that (S<->D). I suspect since Xcas is typically used to find exact answers, a persistent approximate mode was not seen as important. You could *normally* use the Run-Matrix mode for that. There is also the fact that, due to memory size limitations for Casio apps (2MB), Bernard had to cut back on the features included in KhiCAS. This may also explain why you can't share results outside of the KhiCAS environment. By design, it is like a separate calculator.

KhiCAS has a lot of features! Read the 20 posts in the cenetech.net link I provided and look at the documentation link in Bernard's first post for more information.