1) (-3,4;3] и [-4;5) = (-3,4;3] = -3; -2; -1; 0; 1; 2; 3
2) (-9;11] и [-4;3,1] = [-4;3,1] = -4; -3; -2; -1; 0; 1; 2; 3
3) (-∞;7,9] и [-0,5;+∞) = [-0,5;7,9] = 0; 1; 2; 3; 4; 5; 6; 7
4) (-6 11/12; 0] и [-8; 1) = (-6 11/12;0] = -6; -5; -4; -3; -2; -1; 0
Sin(5π/4+α)=sin(π+π/4+α)=-sin(π/4+α)=-(sinπ/4×cosα+cosπ/4sinα)=
-√2/2(cosα+sinα)
-sin(3π/4-α)=-(sin3π/4×cosα-cos3π/4×sinα)=-(√2/2cosα+√2/2sinα)=
-√2/2(cosα+sinα),значит sin(5π/4+α)=-sin(3π/4-α) что требовалось доказать.
A2-6AB+9B2=A-3B.....................................
1)1536-156=1380. 2)156•3=468. 3)1380-468=912. 4)912:2=456. 5)456+156=612. 6)456+468=924. Ответ : первый шкаф -612 второй шкаф - 924.