ПРОШУ ПОМОГИТЕ. ДАЮ 15 БАЛЛОВ. √2(cosx+sinx)=1 - №31633495

ПРОШУ ПОМОГИТЕ. ДАЮ 15 БАЛЛОВ.

√2(cosx+sinx)=1
- Предмет:
  Математика
- Автор:
  valerie
- 6 лет назад

Ответы 1

Cosx+sinx=1/корень2
Берем где части в квадрат
Cos2 x +2cosxsinx+sin2 x=1/2
1+sin2x=1/2
Sin2x=-1/2
$x = { - 1}^{n + 1} \times \frac{\pi}{12} + \frac{\pi}{2} \times n \\$
- Автор:
  jaggervfle
- 6 лет назад
- 0
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