00:01
So we're going to use the same principle, right? we're using the mclaren table to evaluate this guy right here.
00:15
So what is the mclaren for cosine x? that is summation, n from 0 to infinity, negative 1 to the n, x to the 2, x to the 2, x to the 2, and over.
00:36
2n factorial.
00:40
That is for a cosine, right? all we have to do is replace, wherever we see x, replace it by pi over 2x, right? so cosine pi over 2x here is the same as, so cosine pi over 2x here is the same as summation, n from 0 to infinity, negative 1 to the n.
01:12
I see x here, i'm going to replace it by pi over 2 x, and that is the power 2 n over 2n factorial, right? so what is happening here is not to just do a little bit of simplification...