Pull out your calculator or computer. What is the value of sin(1022)?
Do you get an answer? Does it matter if you are in radian or degree mode?
The "correct" answer is -0.85220049, obtained using an "argument-reduction algorithm" discovered in 1982....as it makes "correct results over the entire domain both possible and demandable."
Yet, an AT&T standard once required that for sufficiently large x, software produced either 0 or an error message. Does this standard still exist...are your calculator results due to this standard?
And, even moreso, should I really care what sin(1022) is?
Source: Adapted from K. Ng & K. Bierman's "Getting Right Answer for Trig Functions," SunProgrammer 1992