The value of $\tan\bigg[\cos^{-1}\big(\large\frac{4}{5}\big)$$+\tan^{-1}\big(\large\frac{2}{3}\big)\bigg]$ is

Question

$(a)\;\large\frac{6}{17}$$\qquad(b)\;\large\frac{7}{16}$$\qquad(c)\;\large\frac{16}{7}$$\qquad(d)\;None\;of\;these$