Question

Решительно уравнение: 1-cosx-sin(x/2)=0

Answer 1

1-cosx-sin(x/2)=0
sin²(x/2)+cos²(x/2)-cos²(x/2)+sin²(x/2)-sin(x/2)=0
2sin²(x/2)-sin(x/2)=0
sin(x/2)(2sin(x/2)-1)=0
sin(x/2)=0         x/2=πn  x₁=2πn
2sin(x/2)-1=0    sin(x/2)=1/2   x/2=π/6+2πn  x₂=π/3+2πn.