Надеюсь правильно! Как я понял, то ^ - значит степень!?
tg(180+b)=tgb=sinb/cosb cos(180-b)=-cosb tg(270+b)=-ctgb=-cosb/sinb
cos(270+b)=sinb tg(900-b)=(tg900+tgb)/(1-tg900tgb)=|tg900=tg(180+4п)=tg180=0|=tgb
<span> tg(180+b)cos(180-b)/tg(270+b)cos(270+b)+tg(900-b)=</span>
<span> sinb</span>
<span> - -------cosb</span>
<span> cosb sinb</span>
<span>----------------------- =------------------</span>
<span> cosb cosb-tgb</span>
<span>- ---------sinb+tgb</span>
<span> sinb</span>
Y=x²cosx-sinx x0=π
(x²cosx)'=(uv)' u=x² u'=2xdx v=cosx v'=-sinxdx
(uv)'=u'v+v'u=2xcox-x²sinx
y'=2xcosx-x²sinx-cosx
y'(π)=2πcos(π)-π²sin(π)-cosπ=-2π-0+1=1-2π
----------------------------------------------
y=√3sinx+cosπ/3-3/π*x²
y'=√3cosx+0-6/π*x
y'(π/6)=√3cosπ/6-6/π*π/6=√3*√3/2-1=1.5-1=0.5
<span>(2x-3)^2-2x(4+2x)=11</span>
4x^2 - 12x + 9 - 8x - 4x^2 = 11
-20x = 2
x = -0,1
(1,5x-2y)²+(2x+1,5y)²=6,25(x²+y²)
(1,5x)²-2*1,5x*2y+(2y)²+(2x)²+2*2x*1,5y+(1,5y)²=6,25(x²+y²)
2,25x²-6xy+4y²+4x²+6xy+2,25y²=6,25(x²+y²)
6,25x²+6,25y²=6,25(x²+y²)
6,25(x²+y²)=6,25(x²+y²)
Тождество доказано