<span>(cos x - sin x)^2=1-2sin2x</span>
<span>cos^2(x) -2*sin(x)*cos(x)+sin^2(x) = 1- 2sin2x</span>
<span>1-sin2x=1-2sin2x</span>
<span>sin2x=0</span>
<span>2x=PI*N, N из Z</span>
<span>x = PI*N/2</span>
2Sin(2x + π/6) + 1 = √3Sin2x + Cosx
2(Sin2xCosπ/6 + Cos2xSinπ/6) + 1 = √3Sin2x + Cosx
2(Sin2x * √3/2 + Cos2x * 1/2) + 1 = √3Sin2x + Cosx
√3Sin2x + Cos2x + 1 = √3Sin2x + Cosx
Cos2x - Cosx + 1 = 0
2Cos²x - 1 - Cosx + 1 = 0
2Cos²x - Cosx = 0
Cosx(2Cosx - 1) = 0
1) Cosx = 0
x = π/2 + πn , n ∈ Z
2) 2Cosx - 1 = 0
2Cosx = 1
Cosx = 1/2
x= ± arcCos1/2 + 2πn , n ∈ Z
x = ± π/3 + 2πn , n ∈ Z
2х^2-x+2 - {-3х^2-2x+1}= 2х^2-x+2+3х^2+2x-1=5х²+х+1
1)
a) a^2/2+ab+b^2/2
b)a^3/9-3
2)
a)(y^2(y^2-4)-4(y^2-4))=((y+2)(y-2))^2=(y^2-4)^2
b)-x(1-x^6)
3)
a)x^2(x+5)-2x(x+5)+(x+5)=(x+5)(x^2-2x+1)=(x+5)(x-1)(x-1)=(x+5)(x-1)^2 ( вместо x - это с)
остальное не видно