Левая часть. Разность кубовsin^3 x - cos^3 x = (sin x - cos x)(sin^2 x + sin x*cos x + cos^2 x)Правая часть1 + sin 2x / 2 = sin^2 x + cos^2 x + sin x*cos xПолучаем(sin x-cos x)(sin^2 x+sin x*cos x+cos^2 x) = sin^2 x+cos^2 x+sin x*cos x(sin^2 x + cos^2 x + sin x*cos x)(sin x - cos x - 1) = 01) sin^2 x + cos^2 x + sin x*cos x = 0 1 + sin 2x / 2 = 0sin 2x = -2 - решений нет2) sin x - cos x - 1 = 02sin(x/2)*cos(x/2) - cos^2(x/2) + sin^2(x/2) - cos^2(x/2) - sin^2(x/2) = 02sin(x/2)*cos(x/2) - 2cos^2(x/2) = 02cos(x/2)*(sin(x/2) - cos(x/2)) = 0cos(x/2) = 0; x/2 = pi/2 + pi*k; x1 = pi + 2pi*k
sin(x/2) - cos(x/2) = 0sin(x/2) = cos(x/2)tg(x/2) = 1; x/2 = pi/4 + pi*k; x2 = pi/2 + 2pi*k
Вот ломаная это очень легко
S=ab/2
a=26 , b=24
24*26=624/2=312см²
1 - 1/3 = 3/3 - 1/3 = 2/3
15 : (2/5 + 1/15 + 4/25) = 15 : (30/75 + 5/75 + 12/75) = 15 : 47/75 = 15 * 75/47 = 1125/47 = 23 44/47