Угол дс?=углу вса тк они вертикальные => треугольники равны по стороне и двум прилежащим к ней улгам
-35/36. по моему мнению так
№ 316
а) 7
б) 26
в) -2 * 14 = - 28
г) 9 * 5 = 45
д) 0,5 * 8 = 4
е) + 4 * 15 = 60
ж) 3/4
з) 3/6 = 1/2
1
2(√2/2sinx+√2/2cosx)=1
sin(x+π/4)=1/2
x+π/4=π/6+2πn U x+π/4=5π/6+2πn
x=-π/4+π/6+2πn U x=-π/4+5π/6+2πn
x=-π/12+2πn,n∈z U x=7π/12+2πn,n∈z
2
2(√2/2sinx-√2/2cosx)=1
sin(x-π/4)=1/2
x-π/4=π/6+2πn U x-π/4=5π/6+2πn
x=π/4+π/6+2πn U x=π/4+5π/6+2πn
x=5π/12+2πn,n∈z U x=13π/12+2πn,n∈z
3
√2cosπ/4cosx+√2sinπ/4sinx-cosx=0,5
√2*1/√2*cosx+√2*1/√2*sinx-cosx=0,5
cosx+sinx-cosx=1/2
sinx=1/2
x=π/6+2πn,n∈z U x=5π/6+2πn,n∈z
<h2>Решить неравенство.</h2>
![|x + 5| > 2;\\\\\left[\begin{array}{c}x + 5 > 2,\\x + 5 < -2;\end{array}\Leftrightarrow \\\left[\begin{array}{c}x > 2 - 5,\\x < -2 - 5;\end{array}\Leftrightarrow \\\left[\begin{array}{c}x > -3,\\x < -7.\end{array}](https://tex.z-dn.net/?f=%7Cx+%2B+5%7C+%3E+2%3B%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx+%2B+5+%3E+2%2C%5C%5Cx+%2B+5+%3C+-2%3B%5Cend%7Barray%7D%5CLeftrightarrow+%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx+%3E+2+-+5%2C%5C%5Cx+%3C+-2+-+5%3B%5Cend%7Barray%7D%5CLeftrightarrow+%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx+%3E+-3%2C%5C%5Cx+%3C+-7.%5Cend%7Barray%7D)
<h2><u>Ответ</u>: x ∈ (-∞; -7) U (-3; +∞).</h2>