Ряд Маклорена для y=cost:
![cost=1-\frac{t^2}{2!}+\frac{t^4}{4!}-\frac{t^6}{6!}+...+\frac{(-1)^{n}}{(2n)!}\cdot t^{2n}+...=\sum\limits _{n=0}^{\infty }\frac{(-1)^{n}}{(2n)!}\cdot t^{2n}\; ,\\oblast\; sxodimosti\; \; -\infty \ \textless \ t\ \textless \ +\infty \\\\\\cos^2x=\frac{1+cos2x}{2}=\frac{1}{2}+\frac{1}{2}\cdot cos2x\\\\t=2x\; ,\; cos2x=1-\frac{(2x)^2}{2!}+\frac{(2x)^4}{4!}-\frac{(2x)^6}{6!}+...+(-1)^{n}\cdot \frac{(2x)^{2n}}{(2n)!}+...=\\\\= 1-\frac{2^2x^2}{2!}+\frac{2^4x^4}{4!}-\frac{2^6x^6}{6!}+...+(-1)^{n}\cdot \frac{2^{2n}x^{2n}}{(2n)!}+...](https://tex.z-dn.net/?f=cost%3D1-%5Cfrac%7Bt%5E2%7D%7B2%21%7D%2B%5Cfrac%7Bt%5E4%7D%7B4%21%7D-%5Cfrac%7Bt%5E6%7D%7B6%21%7D%2B...%2B%5Cfrac%7B%28-1%29%5E%7Bn%7D%7D%7B%282n%29%21%7D%5Ccdot+t%5E%7B2n%7D%2B...%3D%5Csum%5Climits+_%7Bn%3D0%7D%5E%7B%5Cinfty+%7D%5Cfrac%7B%28-1%29%5E%7Bn%7D%7D%7B%282n%29%21%7D%5Ccdot+t%5E%7B2n%7D%5C%3B+%2C%5C%5Coblast%5C%3B+sxodimosti%5C%3B+%5C%3B+-%5Cinfty+%5C+%5Ctextless+%5C+t%5C+%5Ctextless+%5C+%2B%5Cinfty+%5C%5C%5C%5C%5C%5Ccos%5E2x%3D%5Cfrac%7B1%2Bcos2x%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot+cos2x%5C%5C%5C%5Ct%3D2x%5C%3B+%2C%5C%3B+cos2x%3D1-%5Cfrac%7B%282x%29%5E2%7D%7B2%21%7D%2B%5Cfrac%7B%282x%29%5E4%7D%7B4%21%7D-%5Cfrac%7B%282x%29%5E6%7D%7B6%21%7D%2B...%2B%28-1%29%5E%7Bn%7D%5Ccdot+%5Cfrac%7B%282x%29%5E%7B2n%7D%7D%7B%282n%29%21%7D%2B...%3D%5C%5C%5C%5C%3D+1-%5Cfrac%7B2%5E2x%5E2%7D%7B2%21%7D%2B%5Cfrac%7B2%5E4x%5E4%7D%7B4%21%7D-%5Cfrac%7B2%5E6x%5E6%7D%7B6%21%7D%2B...%2B%28-1%29%5E%7Bn%7D%5Ccdot+%5Cfrac%7B2%5E%7B2n%7Dx%5E%7B2n%7D%7D%7B%282n%29%21%7D%2B...)
![cos^2x=\frac{1}{2}+\frac{1}{2}\cdot (1-\frac{2^2x^2}{2!}+\frac{2^4x^4}{4!}-\frac{2^6x^6}{6!}+,,,+(-1)^{n}\cdot \frac{2^{2n}x^{2n}}{(2n)!}+...)=\\\\=1-\frac{2x^2}{2!}+\frac{2^3x^4}{4!}-\frac{2^5x^6}{6!}+...+(-1)^{n}\cdot \frac{2^{2n-1}x^{2n}}{(2n)!}+...\\\\cos^2x=\sum\limits _{n=0}^{\infty }\frac{(-1)^{n}\cdot 2^{2n-1}\cdot x^{2n}}{(2n)!}\; ,\; \; -\infty \ \textless \ x\ \textless \ +\infty](https://tex.z-dn.net/?f=cos%5E2x%3D%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot+%281-%5Cfrac%7B2%5E2x%5E2%7D%7B2%21%7D%2B%5Cfrac%7B2%5E4x%5E4%7D%7B4%21%7D-%5Cfrac%7B2%5E6x%5E6%7D%7B6%21%7D%2B%2C%2C%2C%2B%28-1%29%5E%7Bn%7D%5Ccdot+%5Cfrac%7B2%5E%7B2n%7Dx%5E%7B2n%7D%7D%7B%282n%29%21%7D%2B...%29%3D%5C%5C%5C%5C%3D1-%5Cfrac%7B2x%5E2%7D%7B2%21%7D%2B%5Cfrac%7B2%5E3x%5E4%7D%7B4%21%7D-%5Cfrac%7B2%5E5x%5E6%7D%7B6%21%7D%2B...%2B%28-1%29%5E%7Bn%7D%5Ccdot+%5Cfrac%7B2%5E%7B2n-1%7Dx%5E%7B2n%7D%7D%7B%282n%29%21%7D%2B...%5C%5C%5C%5Ccos%5E2x%3D%5Csum%5Climits+_%7Bn%3D0%7D%5E%7B%5Cinfty+%7D%5Cfrac%7B%28-1%29%5E%7Bn%7D%5Ccdot+2%5E%7B2n-1%7D%5Ccdot+x%5E%7B2n%7D%7D%7B%282n%29%21%7D%5C%3B+%2C%5C%3B+%5C%3B+-%5Cinfty+%5C+%5Ctextless+%5C+x%5C+%5Ctextless+%5C+%2B%5Cinfty+)
Ответ:
Неоднозначино. Вместо звездоче можно поставить 0 или 1 или 3. Ответ будет верен. 204+303+402=909
Пошаговое объяснение:
0,6 это десятичная дробь
6/10 или 3/4 -в виде простой дроби
пусть желдей у димы было х тогда у вити х+18
х+9-у димы
х=9-у вити
ответ одинаково
Ответ:
1)2^4=16
делители 16: 1,2,4,8,16.
2)2^3*3^2=64
делители 64: 1,2,4,8,16,32.
3)чётное*нечётное=чётное
делители чётного: 1,2,3.