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
T-a+d+v
а если просто то так:
t-a-d-v
√(49х) - √(16х) + √(25х) = √(7²х) - √(4²х) + √(5²х) = 7√х - 4√х + 5√х =
=√х*(7- 4+5)= 8√х
Log3(3x-3) > 2, тогда
3x-3 > 3^2 <-----> 3x - 3 > 9
3x > 12
x>4
При х > 4 функция принимает значения больше 2.