Find the principal and general solution for the equation $cosec x=-2$

Question

$\begin{array}{1 1}(A)\;\large\frac{7\pi}{6},\frac{11\pi}{3},\normalsize x=n\pi+(-1)^n\large\frac{7\pi}{6}\\(B)\;\large\frac{7\pi}{3},\frac{2\pi}{3},\normalsize x=n\pi+(-1)^n\large\frac{\pi}{2}\\(C)\;\large\frac{\pi}{5},\frac{4\pi}{5},\normalsize x=n\pi+(-1)^n\large\frac{\pi}{5}\\(D)\;\large\frac{\pi}{7},\frac{4\pi}{7},\normalsize x=n\pi+(-1)^n\large\frac{\pi}{7}\end{array}$