HP-41 RPN program solution sought - test problem

[C.Ret]

(10-28-2021 08:39 AM)floppy Wrote:  First I draw it in my preferred graphical calculator https://www.desmos.com/calculator/pop31xijnj?lang=de

Nice plotter, except that it is missing the important fact that x have to be in degrees (not radians nor Bogenmaßen).

(10-29-2021 05:27 PM)Gene Wrote:  I was curious and comparing it to an algebraic (AOS) version. That was 39 steps/bytes.

Let's have a try.

Assuming that the complicated function can be simplify as W.Barbosa and Werner have done:

\( f(x)=\frac{\frac{2.5\times sin(\sqrt{x}+1)}{\pi}+\frac{cos(\sqrt{x}+1)}{sin(x)}}{2.5\times sin(\sqrt{x}+1)}=\frac{1}{\pi}+\frac{.4}{sin(x)\times tan(\sqrt{x}+1)} \)

And using a blue TI-57 LCD using certified AOS technology:

STO0 .4 ÷ ( RCL0 sin × ( 1 + RCL0 √x ) tan ) + ∏ 1/x = R/S RST

The last too steps are optional but useful in program; so this function can be recorded using 22 steps (or bytes) in LRN mode.