Ответ:
Пошаговое объяснение:
tg-альфа будет положительным,т.к угол будет находится в первой четверти.
sin^2+cos^2=1
cos^2=1-(2корень29/29)^2
cos^2=725/841
сos=корень725/29
Теперь найдем сам tg=sin/cos
tg=2корень29/29 /корень725/29=2/5=0,4
Ответ:0,4
1) 48*9=432
2) 5*34=170
3) 432+170=602
4) 602*100=60200
5) 72:3=24
6) 24*1000=24000
7) 60200-24000=36200
8) 36200+295000=331200
Ответ: 331200
Используем формулы приведения и формулу двойного угла:
а)
![2\cos^3x=\sin\left(\dfrac{\pi}{2}-x\right) \medskip \\ 2\cos^3x=\cos x \medskip \\ 2\cos^3x-\cos x=0 \medskip \\ \cos x\left(2\cos^2x-1\right)=0 \medskip \\ \cos x\cdot \cos 2x=0 \medskip \\ 1)\cos x = 0 \medskip \\ x=\dfrac{\pi}{2}+\pi k, k\in \mathbb{Z} \medskip \\ 2) \cos 2x=0 \medskip \\ 2x=\dfrac{\pi}{2}+\pi m, m\in \mathbb{Z} \medskip \\ x=\dfrac{\pi}{4}+\dfrac{\pi m}{2}, m\in \mathbb{Z}](https://tex.z-dn.net/?f=2%5Ccos%5E3x%3D%5Csin%5Cleft%28%5Cdfrac%7B%5Cpi%7D%7B2%7D-x%5Cright%29%0A%5Cmedskip%0A%5C%5C%0A2%5Ccos%5E3x%3D%5Ccos+x%0A%5Cmedskip%0A%5C%5C%0A2%5Ccos%5E3x-%5Ccos+x%3D0%0A%5Cmedskip%0A%5C%5C%0A%5Ccos+x%5Cleft%282%5Ccos%5E2x-1%5Cright%29%3D0%0A%5Cmedskip%0A%5C%5C%0A%5Ccos+x%5Ccdot+%5Ccos+2x%3D0%0A%5Cmedskip%0A%5C%5C%0A1%29%5Ccos+x+%3D+0%0A%5Cmedskip%0A%5C%5C%0Ax%3D%5Cdfrac%7B%5Cpi%7D%7B2%7D%2B%5Cpi+k%2C+k%5Cin+%5Cmathbb%7BZ%7D%0A%5Cmedskip%0A%5C%5C%0A2%29+%5Ccos+2x%3D0%0A%5Cmedskip%0A%5C%5C%0A2x%3D%5Cdfrac%7B%5Cpi%7D%7B2%7D%2B%5Cpi+m%2C+m%5Cin+%5Cmathbb%7BZ%7D%0A%5Cmedskip%0A%5C%5C%0Ax%3D%5Cdfrac%7B%5Cpi%7D%7B4%7D%2B%5Cdfrac%7B%5Cpi+m%7D%7B2%7D%2C+m%5Cin+%5Cmathbb%7BZ%7D)
Выборку произведем на окружности:
б) Синие точки - первая серия корней, зеленые - вторая, красные - данный отрезок
Найдем угловую меру синих и зеленых точек
![(1) -4\pi +\dfrac{\pi}{2}= \dfrac{\pi-8\pi}{2}=-\dfrac{7\pi}{2} \medskip \\ (2) -\dfrac{7\pi}{2}+\pi=\dfrac{2\pi - 7\pi}{2}=-\dfrac{5\pi}{2} \medskip \\ (3)-4\pi + \dfrac{\pi}{4}=\dfrac{\pi-16\pi}{4}=-\dfrac{15\pi}{4} \medskip \\ (4)-\dfrac{15\pi}{4}+\dfrac{\pi}{2}=\dfrac{2\pi-15\pi}{4}=-\dfrac{13\pi}{4} \medskip \\ (5) -\dfrac{13\pi}{4} + \dfrac{\pi}{2}=\dfrac{2\pi-13\pi}{4}=-\dfrac{11\pi}{4}](https://tex.z-dn.net/?f=%281%29+-4%5Cpi+%2B%5Cdfrac%7B%5Cpi%7D%7B2%7D%3D+%5Cdfrac%7B%5Cpi-8%5Cpi%7D%7B2%7D%3D-%5Cdfrac%7B7%5Cpi%7D%7B2%7D%0A%5Cmedskip%0A%5C%5C%0A%282%29+-%5Cdfrac%7B7%5Cpi%7D%7B2%7D%2B%5Cpi%3D%5Cdfrac%7B2%5Cpi+-+7%5Cpi%7D%7B2%7D%3D-%5Cdfrac%7B5%5Cpi%7D%7B2%7D%0A%5Cmedskip%0A%5C%5C%0A%283%29-4%5Cpi+%2B+%5Cdfrac%7B%5Cpi%7D%7B4%7D%3D%5Cdfrac%7B%5Cpi-16%5Cpi%7D%7B4%7D%3D-%5Cdfrac%7B15%5Cpi%7D%7B4%7D%0A%5Cmedskip%0A%5C%5C%0A%284%29-%5Cdfrac%7B15%5Cpi%7D%7B4%7D%2B%5Cdfrac%7B%5Cpi%7D%7B2%7D%3D%5Cdfrac%7B2%5Cpi-15%5Cpi%7D%7B4%7D%3D-%5Cdfrac%7B13%5Cpi%7D%7B4%7D%0A%5Cmedskip%0A%5C%5C%0A%285%29+-%5Cdfrac%7B13%5Cpi%7D%7B4%7D+%2B+%5Cdfrac%7B%5Cpi%7D%7B2%7D%3D%5Cdfrac%7B2%5Cpi-13%5Cpi%7D%7B4%7D%3D-%5Cdfrac%7B11%5Cpi%7D%7B4%7D)
90+4=94
Очень же легкоооооооо