y'=-3sinx-16cos2x=-3+16=13
Sinα(-π/3)+cosα(-π/6)=-sin(pi/3)+cos(pi/6)=-sin(pi/3)+cos(pi/2-pi/3)=<span><span>-sin(pi/3)+sin(pi/3)=0
</span>4sin π/6*sin π/4*tg π/3</span>=4*1/2*корень(2)/2*корень(3)=корень(6)
4sin^2 π/6*sin^2 π/4*tg^2 π/3 = 4*(1/2)^2*(корень(2)/2)^2*(корень(3))^2=<span>
1,5
</span>
sin^2(-π/3)+cos^2(-π/6)=sin^2(π/3)+cos^2(π/6)=(корень(3)/2)^2+(корень(3)/2)^2=6/4=1,5
X(x+2)-5=2x
x^2 +2x-5=2x
x^2=5
ОДЗ 5-x>0⇒x<5
![lg(5-x)=lg \sqrt[3]{35-x^3}](https://tex.z-dn.net/?f=lg%285-x%29%3Dlg+%5Csqrt%5B3%5D%7B35-x%5E3%7D+)
(5-x)³=35-x³
125-75x+15x²-x³=35-x³
125-75x+15x²-35+x³=0
15x²-75x+90=0
x²-5x+6=0
x1+x2=5 u x1*x2=6⇒x1=2 U x2=3