Решите уравнение
1+sin 2x = 2 sin x + cos x.
20 ​

1 + Sin2x = 2Sinx + Cosx

1 + 2SinxCosx - 2Sinx - Cosx = 0

(2SinxCosx - 2Sinx) + ( 1 - Cosx) = 0

2Sinx(Cosx - 1) + (1 - Cosx) = 0

2Sinx(Cosx - 1) - (Cosx - 1) = 0

(Cosx - 1)(1Sinx - 1) = 0