The value of $\sin\large\frac{\pi}{14}$$\sin\large\frac{3\pi}{4}$$4\sin\large\frac{5\pi}{14}$$\sin\large\frac{7\pi}{14}$$\sin\large\frac{9\pi}{14}$$\sin\large\frac{11\pi}{14}$$\sin\large\frac{13\pi}{14}$ is equal to

Question

$(a)\;\large\frac{1}{64}$$\qquad(b)\;\large\frac{1}{32}$$\qquad(c)\;8\qquad(d)\;\large\frac{1}{5}$