22cos²x+4sin2x-7cos²x-7sin²x=0
7sin²x-8sinxcosx-15cos²x=0 /cos²x≠0
7tg²x-8tgx-15=0
tgx=a
7a²-8a-15=0
D=64+420=484 √S=22
a1=(8-22)/14=-1⇒tgx=-1⇒x=-π/4+πn
a2=(8+22)/14=15/7⇒tgx=15/7⇒x=arctg15/7+πn
<span>1)sin(x-pi/4)=0</span>
t=<span>x-pi/4</span>
<span>sint=0</span>
<span>1.t=0+2pi*k</span>
x-pi/4=0
x=pi/4
2.t=pi+2pi*k
pi=x-pi/4
x=5pi/4+2pi*k
3)<span>sinx(3x+pi/3)=1</span>
<span>t=<span>3x+pi/3</span></span>
<span><span>sint=1</span></span>
<span><span>t=pi/2</span></span>
<span><span>3x+pi/3=pi/2</span></span>
<span><span>x=pi/18</span></span>
<span><span>5)<span>tg(x-pi/6)=-√3</span></span></span>
<span><span><span>t=x-pi/6</span></span></span>
<span><span><span>tgt=-√3</span></span></span>
<span><span><span>t=-pi/3+2pi*k . k=Z</span></span></span>
<span><span><span>t=2pi/3+2pi*k . k=Z</span></span></span>
52,28 - (4,7 - 8,72) - 3,7 + ( - 6,3 + 2,25) =
= 52,28 - 4,7 + 8,72 - 3,7 - 6,3 + 2,25 =
= 47,58 + 5,02 - 4,05 =
= 52,6 - 4,05 =
= 48,55
(10-х)(х-1)≥0
10-х≥0 и х-1≥0
-х≥-10 х≥1
х≤10
х∈[1;10]