F`(1)=(2x-1/2x)+1)`=2-1/(2x²)=2-1/(2*1²)=2-1/1=1,5.
1) tg²(270°+a) = ctg² a
2) cos²(270°-a) = sin² a
3) sin²(180°-x) +sin²(270°-x) = sin²x+cos²x=1
4) cos²(180°+x) +cos²(90°+x) = cos²x+sin²x=1
1) 4/(x²+4x+4)=4/(x+2)².
2) (x²+12)/(x²-4)-(x+2)/(x-2)=(x²+12)/((x-2)(x+2))-(x+2)/(x-2)=
=(x²+12-(x+2)²)/((x+2)(x-2))=(x²+12-x²-4x-4)/((x+2)(x-2))=(-4x-8)/((x+2)(x-2))=
=-4*(x-2)/((x+2)(x-2))=-4/(x+2).
3) (4/(x+2)²):(-4/(x+2))=4*(x+2)/(-4*(x+2)²)=-1/(x+2)=-1/(-1+2)=-1/1=-1.