Решите уравнение \(\frac{1}{\tg^2(\frac{\pi}{2}+x)}-\frac{1}{\cos{x}}-1=0\) \(\frac{\pi}{3}+2\pi{n}; n\in{Z}\) \(-\frac{\pi}{3}+2\pi{n}; n\in{Z}\) \(\pi+2\pi{n}; n\in{Z}\) \(\frac{\pi}{2}+\pi{n}; n\in{Z}\) \(\frac{\pi}{6}+2\pi{n}; n\in{Z}\) \(\frac{5\pi}{6}+2\pi{n}; n\in{Z}\) \(2\pi{n}; n\in{Z}\) решений нет \(\frac{2\pi}{3}+2\pi{n}; n\in{Z}\) \(-\frac{2\pi}{3}+2\pi{n}; n\in{Z}\)
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Задание

Решите уравнение \(\frac{1}{\tg^2(\frac{\pi}{2}+x)}-\frac{1}{\cos{x}}-1=0\)

  • \(\frac{\pi}{3}+2\pi{n}; n\in{Z}\)
  • \(-\frac{\pi}{3}+2\pi{n}; n\in{Z}\)
  • \(\pi+2\pi{n}; n\in{Z}\)
  • \(\frac{\pi}{2}+\pi{n}; n\in{Z}\)
  • \(\frac{\pi}{6}+2\pi{n}; n\in{Z}\)
  • \(\frac{5\pi}{6}+2\pi{n}; n\in{Z}\)
  • \(2\pi{n}; n\in{Z}\)
  • решений нет
  • \(\frac{2\pi}{3}+2\pi{n}; n\in{Z}\)
  • \(-\frac{2\pi}{3}+2\pi{n}; n\in{Z}\)

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