Re: Angle Units For Trig Functions

On Thu, 24 Oct 2024 05:22:53 +0000, Lawrence D'Oliveiro wrote:

On Thu, 24 Oct 2024 05:06:37 -0000 (UTC), Steven G. Kargl wrote:
 

For sin(x), argument reduction will give sin(0) = 0, exactly. That's one
angle.

 
More generally, it gives sin(x) ≃ x, for uncountably many angles.
 

For sind(x), argument reduction will give sind(x) = 0, exactly,
for countable many angles.

 
But it never gives sind(x) anywhere close to x.

Never claimed sind(x) for x near 0 was exact.

It is, however, for floatin point arithmetic,
correct to less than or equal to 0.5 ULP.  Now,
got read Goldberg.

--
steve