<span>1/tg</span>²<span>x+1/Sinx+3=0
cos²x/sin²x + 1/sinx + 3 = 0</span>
<span>(cos</span>²<span>x
+ sinx + 3sin</span>²<span>x) / sin²x = 0,</span>
<span> sin
^2x ≠ 0, x ≠ </span>πk, k∈<span>Z; </span><span>
1 - <span> sin </span></span>²<span><span>x +
sinx + 3sin</span></span>²<span><span>x = 0
</span></span>2sin²x + sinx + 1 = 0
D < 0, решений нет
= ( Х - у ) - ( 2х^2 - 2у^2 ) = ( Х - у ) - 2( Х - у )( Х + у ) = ( Х - у )( 1 - 2( Х + у )) = ( Х - у )( 1 - 2х - 2у )
(x-2)*(x-8)<16
x^2+16-10x-16<0
x(x-10)<0
(0;10)
одз x>8
ответ (8;10)