Arc- от слова arcus- угол
arcSin1 = π/2
arcCos 0 = π/2
теперь наши примеры:
а)Sin(3π/2 + arcSin4/5) = - Cos(arcSin4/5) = -корень(1-16/25) = - 3/5
б)Ctg(4*π/2 + 2arctg2) = Ctg(2π + 2arctg2) = Ctg(2arctg2) = (1-tg^2(arctg2))/2tg(arctg2) = (1-4)/4= -3/4
x³-y³=26
x²+xy+y²=13
x³-y³ = (x-y)(x²+xy+y²)=(x-y)*13 = 26
x-y = 26/13 = 2
x = y+2
(y+2)²+(y+2)y+y²=13
y²+4y+4+y²+2y+y² = 13
3y²+6y-9 = 0
y²+2y-3 = 0
(y-1)(y+3) = 0
y₁ = 1, x₁= 3
y₂ = -3, x₂=-1
Зад 1 а)8 Б)0,4 в)5 г)36
зад2 а)8√2 б)-3 В)-6√7+16
зад3 а)√480 б)-√48
зад4 0,1
зад5 а)√2/√3 б)-3-√а
зад6 -2/9