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
1) b⁵ *(b⁷*5b² +b-3) = <span>b⁵ *(5b⁹ +b-3)=5b¹⁴+b⁶-3b⁵
2) -7c*(-3c⁴+c²-2c+1) = 21c⁵-7c³+14c²-7c
3) p*(p³-3c+c*(3p-c²)= </span><span><span>p*(p³-3c+3cp-c³)=p⁴-3cp+3cp²-c³p
</span>4) a*(a⁴+a³+a²) - (a⁴+a³+a²)=a⁵+a⁴+a³-</span><span>a⁴-a³-a²=</span><span> a⁵<span>-a²
</span>5) -3a²b(4ab - a²b² - 2)= -12a³b² + 3a⁴b³+ 6a²b
6) (a⁴ - a³b + a²b² - ab³)*a²b
= a⁶b - a⁵b²+a⁴b³ - a³b⁴</span>
Cos(64+19)=cos75=cos45cos30+sin45sin30=(√6+√2)/4
<span>х^2-2*3x+9-2= (x - 3)^2 - 2</span>