4 tg(5π+y)+tgy=4tgy+tgy=5tgy=5*1=5
За формулою зведення tg(5π+y)=tgy
(a+b)*2=144
A+b=72
A=11b
11b+b=72
12b=72
B=6
A=66
cos(x)<√3/2
x=-11pi/6+2pik
x=-pi/6+2pik
x=(<span>-11pi/6+2pik;<span>pi/6+2pik) . k=z</span></span>
<span><span> cos(x)≥-1/2</span></span>
<span><span>x=2pi/3+2pik</span></span>
<span><span>x=-2pi/3+2pik</span></span>
<span><span>x=(-2<span><span>pi/3+2pik;2pi/3+2pik) . k=z</span></span></span></span>
Общее:x=[-2pi/3+2pik;-pi/6+2pik)U(pi/6+2pik;2pi/3+2pik] / k=z
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cos(x)≥0
x=pi/2+2pik
x=-pi/2+2pik
x=[-pi/2+2pik;pi/2+2pik] . k=z
sin(x)<-√2/2
x=-3pi/4+2pik
x=-pi/4+2pik
x=(-3pi/4+2pik;-pi/4+2pik) . k=z
Общее: x=[-pi/2+2pik;-pi/4+2pik) . k=z
№1
(3х+1)*8+4х=48-х 24х+8+4х=48-х 28х+х=48-8 29х=40 х=1 11/29
30+15х-5=35х-25 15х+25=35х-25 -20х=-50 х=2,5
№2
х/2=5 х=5*2 х=10
х/7=1 х=7
х/9=-9 х=-81
х/10=-4 х=-40
(2х+1)/5=1 2х+1=5 2х=5-1 2х=4 х=4/2 х=2
(11-3х)/4=1/2 11-3х=2 3х=9 х=3
(3х+7)/5=(6х+4)/5 15х+35=30х+20 15х=15 х=1
№3
5х+4х-16=20 9х=36 х=4
2х-3х+1=28 -х=27 х=-27
6х-12+3х=24 9х=36 х=4
14х-2х-2=22 12х=24 х=2