~/algor $ cat masalalar/for-sinus-qatori
For-34
Sinus qatori
Muallif:
Iqbolshoh Ilhomjonov
O'rtacha
1000 ms
64 MB
46%
Haqiqiy son $x$ (radianda) va natural son $N$ berilgan. $\sin x$ funksiyasini qatorning dastlabki $N$ ta hadi yig'indisi orqali hisoblang:
$$S = x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} + \dots$$
$k$-had ($k = 1, 2, \dots, N$) $\frac{(-1)^{k-1} * x^{2k-1}}{(2k-1)!}$ ga teng.
Kiruvchi ma'lumotlar
Bitta qatorda haqiqiy son $x$ va natural son $N$.
Chiquvchi ma'lumotlar
Bitta son — $S$, nuqtadan keyin aynan 6 ta raqam bilan (masalan, 0.841667).
Izoh
$-3.14 \le x \le 3.14$
$x$ — nuqtadan keyin ko'pi bilan $2$ ta raqamli son
$1 \le N \le 10$
Misollar
Kirish #1
1 3
Chiqish #1
0.841667
Kirish #2
0.5 2
Chiqish #2
0.479167