The value of $\cot (cosec^{-1}\large\frac{5}{3}$$+\tan^{-1}\large\frac{2}{3})$ is

Question

$(a)\;\large\frac{6}{17}$$\qquad(b)\;\large\frac{3}{17}$$\qquad(c)\;\large\frac{4}{17}$$\qquad(d)\;\large\frac{5}{17}$