1)0,(8)=0+8/9=8/9
2)0.(43)=0+43/99=43/99
3)0.(027)=0+27/999=1/37
4)5.2(18)=5.2+8/990=5 22/110+8/990=5 198/990+8/990=5 206/990=5 103/495
Tgx=t (происходит замена переменной)
t в квадрате - 5t -6=0
Дискриминант=49
t1=(5+7):2=6
t2=(5-7):2=-1
tgx=6 x=arctg6+Пn
tgx=-1 x=-arctg1+Пn x=-П/4 + Пn
Ответ:arctg6+Пn; -П/4+Пn
x^2 + 9x - 7 = 0
D = 81 + 28 = 109
x1 = ( - 9 + √109)/2;
x2 = ( - 9 - √109)/2
x1*x2 = (81 - 109)/4 = - 28/4 = - 7
1
[cos(π-b)-3sin(-3π/2+b)]/cos(b-3π)=[-cosb+sin(3π/2-b)]/cos(b-π)=
=[-cosb-cosb)/(-cosb)=-2cosb/(-cosb)=-2
3
24√2cos1035=24√2cos(720+315)=24√2cos315=24√2cos(360-45)=
=24√2cos45=24√2*1/√2=24
6
11sin49/sin311=11sin49/sin(360-49)=11sin49/(-sin49)=-11