Автор - dly04777
Объяснение:
1 + cos x + sin x = 2cos(x/2)^2 + 2cos(x/2)sin(x/2) = 2cos(x/2)(cos(x/2)+sin(x/2)) = 2cos(x/2) sqrt(2) sin(x/2 +π/4) = 0
cos(x/2)sin(x/2 + π/4) = 0
x/2 = π/2 + πn x/2 + π/4 = πk
x = π + 2πn x/2 = -π/4 + πk
x = -π/2 + 2πk