Question

1-cosx=2sinx/2 решить

Answer 1

1-(1-2sin²x/2)=2sinx/2
2sin²x/2-2sinx/2=2sinx/2(sinx/2-1)=0

sin x/2=0   x/2=πk   x=2πk  k∈Z

sin x/2=1   x/2= π/2+2πk    x=π+4πk    k∈Z