Sin x+(cos х/2-sin x/2)*(cos x/2+sin x/2)=0

Question

Sin x+(cos х/2-sin x/2)*(cos x/2+sin x/2)=0

Answer 1

Sinx+cos²x/2-sin²x/2=0
sinx+cosx=0/cosx
tgx+1=0
tgx=-1
x=-π/4+πn,n∈z