Укажите все ответы уравнения \(1+2\cos\left(4x-\frac{\pi}{2}\right)=0\)

• \(-\frac{\pi}{24}+\frac{\pi{n}}{2}; n\in{Z}\)
• \(\frac{7\pi}{24}+\frac{\pi{n}}{2}; n\in{Z}\)
• нет решений
• \(\frac{\pi}{24}+\frac{\pi{n}}{2}; n\in{Z}\)
• \(-\frac{7\pi}{24}+\frac{\pi{n}}{2}; n\in{Z}\)
• \(-\frac{\pi}{6}+\pi{n}; n\in{Z}\)
• \(-\frac{\pi}{8}+\pi{n}; n\in{Z}\)
• \(\frac{\pi}{6}+\pi{n}; n\in{Z}\)
• \(-\frac{\pi}{12}+\frac{\pi{n}}{2}; n\in{Z}\)
• \(-\frac{7\pi}{12}+\frac{\pi{n}}{2}; n\in{Z}\)
• \(-\frac{5\pi}{12}+\frac{\pi{n}}{2}; n\in{Z}\)
• \(\frac{\pi}{12}+\frac{\pi{n}}{2}; n\in{Z}\)