I've just tried it on my FX570MS calculater and it didn't work, better do it on hand
That'll be:
cosh(a+jb)=(exp(a)*exp(jb)+exp(-a)*exp(-jb))/2
=0.5exp(a)[cos(b)+jsin(b)]+0.5exp(-a)[cos(b)-jsin(b)]
=0.5cos(b)(2*cosh(a))+0.5j(2*sin(b)*sinh(a))
=cos(b)cosh(a)+jsin(b)cosh(a);
I've just tried it on my FX570MS calculater and it didn't work, better do it on hand
That'll be:
cosh(a+jb)=(exp(a)*exp(jb)+exp(-a)*exp(-jb))/2
=0.5exp(a)[cos(b)+jsin(b)]+0.5exp(-a)[cos(b)-jsin(b)]
=0.5cos(b)(2*cosh(a))+0.5j(2*sin(b)*sinh(a))
=cos(b)cosh(a)+jsin(b)cosh(a);
I know hp33s not support complex hyperbolic, but possible make via writing program and using complex mode of y^x, e^x and ln + lot of storing register (stack is not deep enough)...
hp 15c -> hp32sii -> hp33s, hp15c possible not handle complex hyperbolic by default
Impressive!! Why cannot hp32sii and hp33s handle this by default ???!!!
How hp15 C handle asin(2) - give complex answer ???
(asin(2) = 1.5708+j1.3170)
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And, when in time make hp new usable replacement for hp15c and hp42s in same small size with full complex support on all math functions as old machine to solve this above 'simple' calculating ???
Only big size, low quality (compare to old hp:s) and battery eating hp48g+ and hp49+ in market nowadays, can handle above very 'simple ' problem, not of hp:s small calculators...
I think in time before I look after replacement of hp42s for my job, every scientific calculator worth the name should solve above and other complex number problem easy as standard now year 2006, same as advanced calculator done easly before 1988 (hp 15c, hp41CV, hp42S) - but no... I'ts more or less same status as ugly TI57 and TI30 in beginning of 80's exept LED on display replaces with LCD...
The 15C actually gives the complex conjugate of your answer (i.e. 1.5708-j1.3170), but it DOES it!
There's actually a site devoted to petitioning HP for their reintroduction: https://www.hp15c.org/
(that's where I downloaded its manual so I could figure out how to enter the imaginary part.
Also (not plugging them), Lygea has a 15C emulator for PocketPC. I would HOPE that its behavior is the same as the real thing relative to these problems.
The 15C actually gives the complex conjugate of your answer (i.e. 1.5708-j1.3170), but it DOES it!
There's actually a site devoted to petitioning HP for their reintroduction: h**p://www.hp15c.org/
(that's where I downloaded its manual so I could figure out how to enter the imaginary part.
Also (not plugging them), Lygea has a 15C emulator for PocketPC. I would HOPE that its behavior is the same as the real thing relative to these problems.
I'm. impressive hp 15 C also can do it!, it's very rare in calculator world and only knows on HP28S, hp42S, hp48x, hp49x, now on hp15C and possible TI89.
hp-emulator people is more or less fanatic to emulate hp-calculators 'perfect' - so, if works in emulator (ie emulate prom), is also working in real thing.
My solution to replace physical hp42s just now in my job, is using free42 (simulator!, not emulator of copyrigthed prom) on PC and palm-T (no yet for pocket PC), it works, but not same as real thing (miss real button on pda)