x1+x2=-p=-8, x1×x2=q, 3+x2=-8, x2=-11, 3×(-11)=-33=q.
x²-5x-50<0
x²-5-50=0 D=225 √D=15
x₁=10 x₂=-5 ⇒
(x-10)(x+5)<0
-∞_____+_____-5_____-_____10_____+_____+∞
Ответ: x∈(-5;10).
Arcsin(1/2) = π/6 + 2πk, k∈Z или
= 5π/6 + 2πk, k∈Z
n∈Z
sin x =cos ^2(П/4-x/2)=(cosП/4cosx/2+sinП/4sinx/2)^2=(1+sinx)/2