The principal value of $\;tan^{-1}(cot \large\frac{43 \pi}{4})\;$ is :

Question

$(a)\;-\large\frac{3 \pi}{4}\qquad(b)\;\large\frac{3 \pi}{4}\qquad(c)\;-\large\frac{ \pi}{4}\qquad(d)\;\large\frac{ \pi}{4}$