Question

доказать тождество 1+sin 2x (cos x +sin x )2​

Answer 1

1+sin2x = (sinx + cosx)²

1+sin2x = sin²x + 2•sinx•cosx + cox²x

1+sin2x = (sin²x + cos²x) + 2•sinx•cosx

1+sin2x = 1 + sin2x