Укажите все решения уравнения \(2\sin^2x+15\cos\left(x-\frac{\pi}{2}\right)+7=0\) \(-\frac{\pi}{6}+2\pi{n}; n\in{Z}\) \(-\frac{5\pi}{6}+2\pi{n}; n\in{Z}\) \(\frac{\pi}{6}+2\pi{n}; n\in{Z}\) \(\frac{5\pi}{6}+2\pi{n}; n\in{Z}\) \(-\frac{\pi}{2}+2\pi{n}; n\in{Z}\) \(-\frac{\pi}{3}+2\pi{n}; n\in{Z}\) \(\frac{\pi}{3}+2\pi{n}; n\in{Z}\) \(\frac{3\pi}{4}+2\pi{n}; n\in{Z}\) \(\frac{\pi}{4}+2\pi{n}; n\in{Z}\)

Задание

Укажите все решения уравнения \(2\sin^2x+15\cos\left(x-\frac{\pi}{2}\right)+7=0\)

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