Укажите все решения уравнения \(2\cos^2x-13\sin\left(x+\frac{\pi}{2}\right)-7=0\) \(-\frac{2\pi}{3}+2\pi{n}; n\in{Z}\) \(\frac{2\pi}{3}+2\pi{n}; n\in{Z}\) \(-\frac{\pi}{3}+2\pi{n}; n\in{Z}\) \(\frac{\pi}{3}+2\pi{n}; n\in{Z}\) \(-\frac{\pi}{6}+2\pi{n}; n\in{Z}\) \(\frac{\pi}{6}+2\pi{n}; n\in{Z}\) \(-\frac{5\pi}{6}+2\pi{n}; n\in{Z}\) \(\frac{5\pi}{6}+2\pi{n}; n\in{Z}\) \(-\frac{\pi}{2}+2\pi{n}; n\in{Z}\)

Задание

Укажите все решения уравнения \(2\cos^2x-13\sin\left(x+\frac{\pi}{2}\right)-7=0\)

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