HP35s Revisited Trig Quandary Bug # 2

[Marcio]

(02-17-2015 07:52 PM)Thomas Klemm Wrote:  

(02-16-2015 11:53 PM)MarkHaysHarris777 Wrote:  Conclusion: Bug # 2 is not a bug... its a petty annoyance.

You may try this simple program with 0, 1, 2, 3, ... as input. Just make sure to use DEG mode.

Code:

0001 10^x
0002 ENTER
0003 1/x
0004 SIN
0005 ×
0006 RTN

This is the result that the HP-35s produces (using ALL mode):

0: 1.74524064373E^-2
1: 1.7453283659E^-2
2: 1.74532924306E^-2
3: 1.74532925091E^-2
4: 0.0174532925
5: 0.017453292
6: 0.01745329
7: 0.0174532 WOW!
8: 1.74532925199E^-2
9: 1.74532925199E^-2

For comparison here are the correct values:

0: 0.0174524064373
1: 0.0174532836590
2: 0.0174532924313
3: 0.0174532925191
4: 0.0174532925199
5: 0.0174532925199
6: 0.0174532925199
7: 0.0174532925199
8: 0.0174532925199
9: 0.0174532925199

Thus it's not that the SIN function of the HP-35s is inaccurate for small numbers.

Cheers
Thomas

Naively I tried to trick the 35s by doing \[sin(x) = \frac{e^{ix}-e^{-ix}}{2i}\] to no avail. The results were exactly the same.