1/(х-3)(х+3)+2-х/х-3= х(х+3)/(х-3)(х+3)=х^+3х/(х-3)(х+3)=х(х+3)/(х-3)(х+3)=х/х-3
А)sin60° и <span>tg(-45°)
</span>sin60°=
![\frac{ \sqrt{3} }{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B+%5Csqrt%7B3%7D+%7D%7B2%7D+)
tg(-45°)= tg135°=-1
sin60° > tg(-45°)<span>б) cos60° и cos60°×ctg30°
</span>cos60°=
![\frac{1}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+)
cos60°×ctg30°=
![\frac{1}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+)
*
![\sqrt{3}](https://tex.z-dn.net/?f=+%5Csqrt%7B3%7D+)
=
cos60° < cos60°×ctg30°
в) sin30° и sin²<span>30°
</span>sin30°=
![\frac{1}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+)
sin²30°=sin30°*sin30°=
![\frac{1}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+)
*
![\frac{1}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+)
=
sin30° > sin²30°
1.5sin2x=4; sin2x=4/5; 2x= arcsin4/5+2пк; x=arcsin2/5+пк
1) Нет, контрпример
![P(x) = (x - 10)^2 + 1, \ x_1 = 11](https://tex.z-dn.net/?f=P%28x%29+%3D+%28x+-+10%29%5E2+%2B+1%2C+%5C+x_1+%3D+11)
2) Вспомним неравеннство Коши
![\sqrt[4]{abcd} \le \frac{a + b + c + d}{4} \Rightarrow m \ge 4](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Babcd%7D+%5Cle+%5Cfrac%7Ba+%2B+b+%2B+c+%2B+d%7D%7B4%7D+%5CRightarrow+m+%5Cge+4)
<span>Все,что знаю:</span>