| x2 | x4 | x6 | (−1)n−1*x2n−2 | |||||
cosx ≈ 1− | + | − | + ... + | + R2n | ||||
| 2! | 4! | 6! | (2n−2)!) |
| x2ncos(c) | ||
gdzie R2n = | ||
| (2n)! |
| 12n * cos(c) | 1 | |||
R2n(1) = | | | ≤ | |||
| (2n)! | (2n)! |
| 1 | 1 | ||
< | |||
| (2n)! | 10 000 |
| 1 | 1 | 1 | ||||
cos(1) ≈ 1 − | + | − | ||||
| 2! | 4! | 6! |
| x2n cos(n*π + c) | ||
R2n = | oczywiście, ale to nie zmienia wyniku (ktory jest | |
| (2n)! |