Tg(5x - π/3) = √3/3
5x - π/3 = π/6 + πn, n ∈ Z.
5x = π/6 + π/3 + πn, n ∈ Z
5x = π/2 + πn, n ∈ Z
x = π/10 + πn/5, n ∈ Z.
Arcsin(1/2) = π/6 + 2πk, k∈Z или
= 5π/6 + 2πk, k∈Z
n∈Z
<span>53
(a+b)³ - a²(a+b)²/a +b²(a-b)²/b=(a+b)³-a(a²+2ab+b²)+b(a²-2ab+b²)=
=a³+3a²b+3ab²+b³-a³-2a²b-ab²+a²b-2ab²+b³=2a²b+2b³=2b(a²+b²)
2b(a²+b²)≠4ab²
54
(y³+12y²+48y+64-9y²-48y-64)/y²=-1
(y³+3y²)/y²=-1
y²(y+3)/y²=-1
y+3=-1
y=-1-3
y=-4</span>