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

Question

( A ) $\frac{4}{17}$
( B ) $\frac{5}{17}$
( C ) $\frac{6}{17}$
( D ) $\frac{3}{17}$