Cos (5π/2 + α) = - 0.6 α - в 1-й четверти
Cos (5π/2 + α) = сos (π/2 + α) = -sin α = -0.6
sin α = 0.6
cos α = √1 - 0.36 = 0.8
Cos (5π + α) = cos (π + α) = - cos α = -0.8
Ответ: cos (5π + α) = -0.8
1.
а) (х-9)2=2х+9*2=2х+18
б) (3х-8а)2=3х*2-8а*2=6х-16а
в) (с-7) (с+7)=с²-7²=с²-49
г)(6а+10с) (10с-6а)=(10с+6а) (10с-6а)=100с²-36а²
2.
а)х2-1=2х-1
б)х2+4х+4=2(х+2х+2)=2(3х+2)
в)25у2-4=50у-4=2(25у-2)
г)36а2-60ав+25в2=72а-60ав+50в=2(36а-30ав+25в)
3.
(х+3) (х-3)-(х-4)2=х+3х-9-(2х-8)=(х+3х-9-2х+8=2х-1
накоонецто всёёё
Левая часть.
(3/(x+4))+(6x/(x^2+x-12))-(1/(x-3))=
(3(x-3)-(x+4))/((x+4)(x-3))+(6x/(x^2+x-12))=
(2x-13)/((x+4)(x-3))+(6x/((x+4)(x-3)))=
(8x-13)/((x+4)(x-3))=
(8x-13)/((x+4)(x-3)) * ((x-4)/(x-4))=
((8x-13)*(x-4))/((x^2-16)(x-3))
Поделим левую часть на правую.
[ ((8x-13)*(x-4))/((x^2-16)(x-3)) ] / ((8x-13)/(x^2-16))=
[ ((8x-13)*(x-4))/((x^2-16)(x-3)) ] * ((x^2-16)/(8x-13))=
(x-4)/(x-3)
Смежные углы в сумме =180 градусов
180-108=72