Решите уравнение \(4\sin{3t}\sin{t}+2\cos{2t}+1=0.\)

• \(\pm\frac{\pi}{3}+\pi n, n\in Z\)
• \(\pm\frac{2\pi}{3}+\pi n, n\in Z\)
• \(\pm\frac{\pi}{6}+\pi n, n\in Z\)