Решить
sin(x+1)=sinx+sin1

sin(x+1) =sinx+sin1;2sin(x+1)/2* cos(x+1)/2 =2sin(x+1)/2*cos(x-1)/2 ;sin(x+1)/2 (cos(x+1)/2 - cos(x-1)/2) =0 ;-2sin(x+1)/2*sin(x/2)*sin1/2 =0 ;-2sin1/2 ≠ 0 ;[sin(x+1)/2 = 0 ; sin(x/2) = 0.[(x+1)/2 = πk ; x/2 = πk.[x = 2πk -1  ; x =2 πk , k∈Z.