Casio fx-CG50 - Hyperbolic functions of complex numbers

[Steve Simpkin]

(02-29-2020 02:28 AM)Dands Wrote:  Hello,

I recently discovered that my CG50 can't evaluate hyperbolic functions of complex numbers such as

cosh(2*i)

or

sinh(2+2*i)

Giving me a "Non-real ERROR".

It's important to point out that other calculators such as the HP Prime and TI Nspire can do this with no problem. If you're asking yourself why I need this: calculating impedance parameters of power distribution lines.

I tried both rad and deg modes and my calculator is in Complex mode. Latest OS installed.

Any ideas on how why this isn't working? It's a shame because I really expected this calculator to do this.

Thanks

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.