1)
![\pi=180\\1.25\pi=1.25*180=225](https://tex.z-dn.net/?f=%5Cpi%3D180%5C%5C1.25%5Cpi%3D1.25%2A180%3D225)
2)
![1=\frac{\pi}{180}\\ -150=-150*\frac{\pi}{180}=-\frac{5\pi}{6}](https://tex.z-dn.net/?f=1%3D%5Cfrac%7B%5Cpi%7D%7B180%7D%5C%5C%0A-150%3D-150%2A%5Cfrac%7B%5Cpi%7D%7B180%7D%3D-%5Cfrac%7B5%5Cpi%7D%7B6%7D)
3) a)
![sin(-252)=-sin252=-sin(360-108)=sin108=sin(90+18)=\\=cos18](https://tex.z-dn.net/?f=sin%28-252%29%3D-sin252%3D-sin%28360-108%29%3Dsin108%3Dsin%2890%2B18%29%3D%5C%5C%3Dcos18)
b)
![cos1130=cos(360*3+50)=cos50=cos(90-40)=sin40](https://tex.z-dn.net/?f=cos1130%3Dcos%28360%2A3%2B50%29%3Dcos50%3Dcos%2890-40%29%3Dsin40)
4)
![2 sin (x-1)=-\sqrt2\\ sin(x-1)=-\frac{\sqrt2}{2}\\ x_1-1=\frac{5\pi}{4}+2\pi n, n\in Z=\ \textgreater \ x_1=1+\frac{5\pi}{4}+2\pi n, n\in Z\\ x_2-1=\frac{7\pi}{4}+2\pi k, k\in Z =\ \textgreater \ x_2=1+\frac{7\pi}{4}+2\pi k, k\in Z](https://tex.z-dn.net/?f=2+sin+%28x-1%29%3D-%5Csqrt2%5C%5C%0Asin%28x-1%29%3D-%5Cfrac%7B%5Csqrt2%7D%7B2%7D%5C%5C%0Ax_1-1%3D%5Cfrac%7B5%5Cpi%7D%7B4%7D%2B2%5Cpi+n%2C+n%5Cin+Z%3D%5C+%5Ctextgreater+%5C+x_1%3D1%2B%5Cfrac%7B5%5Cpi%7D%7B4%7D%2B2%5Cpi+n%2C+n%5Cin+Z%5C%5C%0Ax_2-1%3D%5Cfrac%7B7%5Cpi%7D%7B4%7D%2B2%5Cpi+k%2C+k%5Cin+Z+%3D%5C+%5Ctextgreater+%5C++x_2%3D1%2B%5Cfrac%7B7%5Cpi%7D%7B4%7D%2B2%5Cpi+k%2C+k%5Cin+Z)
А потом решаем неравенства: 0 <= x_1 <=2pi и 0<=x_2<=2pi, находим целые n и k, подставляем в формулу соответствующего корня
2x^2-x-1=0
D=b^2-4ac
D=(-1)^2-4*2*(-1)=1+8=9
√D=√9=3
x1=-b<em><u /></em><em><u />+</em>√D/2a
x1=1+3/4=1
x2=-b-√D/2a
x2=1-3/4=-0,5
Если "х" начальная скорость 1.
А "у" нач.скор. 2.
х+16=3 (первая)
у-16= 4 (вторая)
----------
х+16+у+(-16) = 3+4
х+у=7
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Выразим у через "х"
х=7-у
7-у+16=3 ==) -у=-20.
-----------
у = 20
х = -13
=====Проверка=====
-13+16=3
20-16=4
**успешно
Ответ №1: "-13" и "20"
Ответ №2: 3
Ответ №3: 4
****Возможно правильно...