Consider the following statements

I. The value of \(\tan^{-1} \left(\frac{1}{4}\right)+\tan^{-1} \left(\frac{2}{9}\right)\) is equal to \(\sin^{-1} \left(\frac{1}{\sqrt5}\right)\)

II. \(\sin^{-1} \left(\frac{8}{17}\right)+\sin^{-1} \left(\frac{3}{5}\right)=\sin^{-1} \left(\frac{77}{85}\right)\)

Which of the above statement(s) is/are correct?