Решите уравнение sinx+cosx=-1

Решите уравнение
sinx+cosx=-1
- Предмет:
  Алгебра
- Автор:
  ezrastanley
- 6 лет назад

Ответы 1

$sinx+cosx=-1 \bigg|:\sqrt{2}\\\frac{1}{\sqrt{2}}sinx+\frac{1}{\sqrt{2}}cosx=-\frac{1}{\sqrt{2}}\\sinxcos \frac{\pi}{4}+sin \frac{\pi}{4}cosx=-\frac{1}{\sqrt{2}}\\sin(x+\frac{\pi}{4})=-\frac{1}{\sqrt{2}}\\\left[\begin{gathered}x+\frac{\pi}{4}=-\frac{\pi}{4}+2 \pi k, k \in Z\\x+\frac{\pi}{4}=-\frac{3\pi}{4}+2 \pi n, n \in Z\end{gathered}ight.$ Дальше дорешать вам
- Автор:
  lizzydickerson
- 6 лет назад
- 0
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Решите уравнение sinx+cosx=-1

Ответы 1

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Решите уравнение
sinx+cosx=-1