Помогите, срочноsinx - cosx = 1

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