Ответ:

  1. \(\cos\frac{5\pi}{3}=\cos\left(2\pi-\frac{\pi}{3}\right)=\cos\frac{\pi}{3}=\frac{1}{2}\).
  2. \(\sin\left(-\frac{11\pi}{6}\right)=\sin\left(-\frac{11\pi}{6}+2\pi\right)=\sin\frac{\pi}{6}=\frac{1}{2}\).
  3. \(\sin\frac{7\pi}{6}=\sin\left(\pi+\frac{\pi}{6}\right)=-\sin\frac{\pi}{6}=-\frac{1}{2}\).
  4. \(\cos\left(-\frac{7\pi}{3}\right)=\cos\left(-\frac{7\pi}{3}+2\pi\right)=\cos\left(-\frac{\pi}{3}\right)=\cos\frac{\pi}{3}=\frac{1}{2}\).

Ответ: а) \(\frac{1}{2}\); б) \(\frac{1}{2}\); в) \(-\frac{1}{2}\); г) \(\frac{1}{2}\).