Решите уравнение \(2\sin(\pi+t)-\cos(\frac{3\pi}{2}-t)=1.\)

• \(-\frac{\pi}{2}+2\pi{n}, n\in{Z}\)
• \(-\frac{\pi}{2}+\pi{n}, n\in{Z}\)
• \(\pi+2\pi{n}, n\in{Z}\)
• \(\frac{\pi}{2}+2\pi{n}, n\in{Z}\)