Re: Radians Or Degrees?

On 3/15/2024 1:59 PM, Chris M. Thomasson wrote:

On 3/15/2024 3:23 AM, Terje Mathisen wrote:

Michael, I for the main part agree with you here, i.e. calculating sin(x) with x larger than 2^53 or so, is almost certainly stupid.

[...]
 ;^D tooooooo big. :^)
 Now, wrt the results, arbitrary precision for trig is useful, in say... Deep fractal zooms...

Say I want at least 30 digits of precision for a certain calculation of complex numbers at a certain zoom level. Along the lines of trying to match convergents of continued fractions, take pi:
3.1415926535897932384...
two digits of decimal precision:
22/7 = 3.14_28571428571428571428571428571
three digits of decimal precision:
333/106 = 3.1415_094339622641509433962264151
six digits of decimal precision:
355/113 = 3.141592_9203539823008849557522124
On and on...
Well...

 Zooming in really deep in say something like this, well the precision of trig can become an issue:
 https://paulbourke.net/fractals/multijulia/
 Trig would be used, say, in rectangular to-from polar forms wrt getting the n-ary roots of a complex number?