5 2/7-9=-3 5/7
-3 1/4+7 2/5=4 3/20
8,25-9 1/6=-11/12
5/14:(-7/15)=-75/98
(-9/11)*(-22)=18
4 1/9*3=12 1/3
5/6*(-42)=-35
-18:(-9/11)=22
-4 1/3*(-2,4)=10 2/5
|-6,1|=6,1
|25:1/5|=125
a)sin9x cos3x - cos9x sin3x=2/5
sin(9x+3x)=2/5
sin12x=2/5
12x=((-1)^n)arcsin(2/5)+П*n
x=(((-1)^n)arcsin(2/5)+П*n)/12
b)sinx+cosx=1 |^2
sinx^2+cos^2+ 2sinxcosx=1
1+2sinxcosx=1
sinxcosx=0
sinx=0 cosx=0
x=Пn/2
Сtg(t+π)=ctgt=3,π<t<3π/2
sin²t=1:(1+ctg²t)=1/10
sint=-1/√10
cost=-√(1-sin²t)=-√(1-1/10)=-√(9/10)=-3/√10
tgt=sint/cost=-1/√10:3/√10=-1/√10*√10/3=-1/3
cos(t-2π)=cost=-3/√10
sin(4π-t)=-sint=1/√10
tg(t-π)=tgt=-1/3