Calculating the sine and Cosine

[jxu]

I have only taken the 2 first term of the Taylor series of the sinus. It explained why it is so unaccurate after 80° ...

You know you can just mirror the result past 90 deg?

Also the graph is a good demonstration that x approximates sin x to 0.001 between +/- 0.18 and to 0.01 between +/- 0.39