The principal value of $\sin^{-1}\tan\big(\large\frac{-5\pi}{4}\big)$ is

Question

$(a)\;\large\frac{\pi}{4}$$\qquad(b)\;-\large\frac{\pi}{4}$$\qquad(c)\;\large\frac{\pi}{2}$$\qquad(d)\;\large\frac{-\pi}{2}$