x = <span>2п/3 - y</span>
<span>cos[6(2п/3 - y)] + cos6y = 2</span>
<span>cos(4п - 6y) + cos6y = 2</span>
<span>cos6y + cos6y = 2</span>
<span>2cos6y = 2</span>
<span>cos6y = 1</span>
<span>6y = 2пk</span>
<span>y = пk/3</span>
<span>x = 2п/3 - y = 2п/3 - пk/3</span>
3sinx+4cosx=-5
5(3/5sinx+4/5cosx)=-5
sin(x+a)=-1,sina=4/5 U cosa=3/5
x+a=-1⇒x=-a-π/2+2πn
x=-arcsin4/5-π/2+2πn,n∈z
1)х^2=18-7x
x^2+7x-18=0
D=7^2-4 x 1 x (-18)=49+72=121
x1=-7+11/2=4/2=2
x2=-7-11/2=-18/2=9
2)25x^2-1=0
(5x)^2 - (1)^2=(5x-1)(5x+1)
5x=1
x=1/5=0,2
5x=-1
x=-1/5=-0,2
там где умножить х находится подальше
E(cosx)=[-1;1]
E(cos2x)=[-1;1]
E(4cos2x)=[-4;4]
E(4cos2x+3)=[-1;7] => у(наиб.)=7