<span>Г) h+(h-8)
<em><u>пояснение:</u></em>
у Коли - h
у Вани на 8 меньше,значит h-8
Всего: h+(h-8)
</span>
3cos28cos34-3cos62cos56
Cos28=cos(90-62)=sin62
Cos34=cos(90-56)=sin56
3sin62sin56-3cos62cos56= 3sin(62-56)=3sin6
X*x-3x-4=0
x^2-3x-4=0
D=9-4*(-4)
D=25
x1=(3+5)/2=4
x2=(3-5)/2=-1
корни уравнения: 4;-1
<span>1)2х+у=1
5х+2у=0
4x+2y=2
5x+2y-4x-2y=0-2
x=-2
y=5
2) х+5у=7
3х+2у=-5
3x+15y=21
3x+15y-3x-2y=21+5
13y=26
y=2
x=-3
3) 2х-3у=1
3х+у=7
9x+3y=21
2x-3y+9x+3y=1+21
11x=22
x=2
y=1
4) х+у=6
5х-2у=9
2x+2y=12
2x+2y+5x-2y=12+9
7x=21
x=3
y=3
5) х+у=7
5х-7у=11
5x+5y=35
5x+5y-5x+7y=35-11
12y=24
y=2
x=5
6)4х-3у=-1
х-5у=4
4x-20y=16
4x-20y-4x+3y=16+1
-17y=17
y=-1
x=-1
7)2х-5у=-7
х-3у=-5
2x-6y=-10
2x-6y-2x+5y=-10+7
-y=-3
y=3
x=4
8)3х-5у=16
2х+у=2
10x+5y=10
3x-5y+10x+5y=16+10
13x=26
x=2
y=-2
9) 2х+5у=-7
3х-у=15
15x-5y=75
2x+5y+15x-5y=75-7
17x=68
x=4
y=-3
10)
2х-3у=5
<span>х-6у=-2</span></span>
2x-12y=-4
2x-3y-2x+12y=5+4
9y=9
y=1
x=4
Sin 3x - Sin 7x = √<span>3 Sin 2x
-2Cos5x Sin2x = </span>√3Sin2x
-2Cos5x Sin2x - √3Sin2x = 0
2Cos5x Sin2x + √3Sin2x = 0
Sin2x(2Cos5x + √3) = 0
Sin2x = 0 2Cos5x +√3 = 0
2x = πn , n∈Z Cos5x = -√3/2
x = nπ/2, n ∈ Z 5x = +-arcCos(√3/2) + 2πk , k ∈Z
5x = +-π/6 + 2πk , k ∈Z
x = +-π/30 + 2πk/2, k ∈Z