tan(pi/24), what is the correct result?

[DavidM]

(09-05-2016 04:15 PM)Dol Wrote:  tan(pi/24), what is the correct result?

How do you define "correct" for an approximate number in decimal form using approximate intermediate results of varying precision?

That said, here's a few more results for TAN(pi/24).

RAD mode

WolframAlpha using "N[Tan[Pi/24], 80]" as input (for reference):
0.131652497587395853471526457409717103592814102223237573553565325789759839010622​03

HP 48sx Standard Precision:
0.131652497588

HP 48sx Extended Precision (using SysRPL, pi = 3.14159265358979):
0.131652497587394

HP 50g Approximate Mode (Standard Precision):
0.131652497588

HP 50g Extended Precision (using SysRPL):
0.131652497587394

HP 50g Using LongFloat Library set to 80 digits:
0.131652497587395853471526457409717103592814102223237573553565325789759839010622​03

(EDIT: added results for degrees)

DEG mode

WolframAlpha using "N[Tan[Pi/24], 80]" as input (for reference):
0.002284634623313498943082991812335105124350849467368715570132473430115477226898​1872

HP 48sx Standard Precision:
0.00228463462332

HP 48sx Extended Precision (using SysRPL, pi = 3.14159265358979):
0.00228463462331348

HP 50g Approximate Mode (Standard Precision):
0.00228463462332

HP 50g Extended Precision (using SysRPL):
0.00228463462331348

HP 50g Using LongFloat Library set to 80 digits:
0.002284634623313498943082991812335105124350849467368715570132473430115477226898​1872