Ответ:
1
Объяснение:
1 + cos(2α) - sin(2α) / cos(α) + cos(π/2+α) = 2cos(α)^2 - 2cos(α)sin(α) / cos(α) - cos(π-π/2-α) = 2cos(α) (cos(α)-sin(α))/cos(α) - cos(π/2 -α) = 2cos(α) (cos(α)-sin(α))/cos(α)-sin(α) =2cos(α) = 2cos(2π + π/3) = 2cos(π/3) =1
4x-2y=-9
3x-3y=-6
4x-2y=-9
x-y=-2
4x-2y=-9
x=y-2
4(y-2)-2y=-9
x=y-2
4y-8-2y=-9
2y=-1
y=-0.5
x=-0.5-2=-2.5
x=-2.5
y=-0.5
ОДЗ: y≥-3
y=x-3
√(29-12x-(x-3)²)= x-3+3
y=x-3
√(29-12x-x²+6x-9)=x
y=x-3
√(-x²-6x+20)=x
ОДЗ: -x²-6x+20≥0
x≥0
x∈[0, √29-3]
y=x-3
-x²-6x+20=x²
2x²+6x-20=0
x²+3x-10=0
D= 9+40= 49
x1= (-3+7)/2= 2
x2= (-3-7)/2= -5 - не корень по ОДЗ
x=2
y= -1
Ответ: (2; -1)