Euler Identity in Home

[Joe Horn]

(04-08-2014 01:46 PM)Manolo Sobrino Wrote:  f) Due to rounding numbers to 12 digits after every operation (this took a while) and then performing those at least 25-digit precision calculations, the TI results for SIN have actually more significant accurate digits in the neighbourhood of Pi.

Whoa, help me out here. The closest that 12 significant digits can get to sin(exactly 3.14159265359 radians) is -2.06761537357E-13, which is exactly what HP returns. To verify its validity, I just cranked sin(pi rounded to 12 significant digits) to 100 decimal places and rounded the result. HP is correct. Are you saying that TI's 12 digits are somehow more correct? Since any 12-significant-digit result (from TI or anybody else) can only be as good or worse, I must be misunderstanding your point (for which, please don't flame me... I'm really trying to understand here, and not be a "sycophant"). Thanks in advance.