Euler Identity in Home

[Joe Horn]

(04-04-2014 12:41 PM)Marcus von Cube Wrote:  In Home, π is just a floating point (BCD) number, not a symbolic constant. Thus, sin(π) simply isn't zero. I wouldn't be surprised if the result is the correctly rounded result of computing sin(3.14159265359).

You're right: it is. SIN(exactly 3.14159265359 radians) = -2.0676153735661672...E-13, which rounds to the same result as given by all HP 12-digit BCD calculators.

Edit: Some HP 10-digit BCD calculators were not as accurate. For example, the HP-19C, '97, and '41 return only 2 significant digits: exactly -4.1E-10 for SIN(exactly 3.141592654 radians), whereas the correct answer is -4.102067615373566167...E-10.

HEY... the HP-65 returns 0 for SIN(3.141592654). What's up with that?