Укажите все решения уравнения \(2\cos^2x-23\cos\left(x+\pi\right)+11=0\) \(\frac{2\pi}{3}+2\pi{n}; n\in{Z}\) \(\frac{4\pi}{3}+2\pi{n}; n\in{Z}\) \(\frac{\pi}{3}+2\pi{n}; n\in{Z}\) \(-\frac{\pi}{3}+2\pi{n}; n\in{Z}\) \(\frac{\pi}{6}+2\pi{n}; n\in{Z}\) \(\frac{5\pi}{6}+2\pi{n}; n\in{Z}\) \(\frac{3\pi}{4}+2\pi{n}; n\in{Z}\) \(\frac{5\pi}{4}+2\pi{n}; n\in{Z}\) \(\frac{\pi}{2}+2\pi{n}; n\in{Z}\) \(2\pi{n}; n\in{Z}\)

Задание

Укажите все решения уравнения \(2\cos^2x-23\cos\left(x+\pi\right)+11=0\)

\(\frac{2\pi}{3}+2\pi{n}; n\in{Z}\)
\(\frac{4\pi}{3}+2\pi{n}; n\in{Z}\)
\(\frac{\pi}{3}+2\pi{n}; n\in{Z}\)
\(-\frac{\pi}{3}+2\pi{n}; n\in{Z}\)
\(\frac{\pi}{6}+2\pi{n}; n\in{Z}\)
\(\frac{5\pi}{6}+2\pi{n}; n\in{Z}\)
\(\frac{3\pi}{4}+2\pi{n}; n\in{Z}\)
\(\frac{5\pi}{4}+2\pi{n}; n\in{Z}\)
\(\frac{\pi}{2}+2\pi{n}; n\in{Z}\)
\(2\pi{n}; n\in{Z}\)