Which of the following is true?

\(\sin^{-1}\frac{8}{17}+\sin^{-1}\frac{3}{5}=\sin^{-1}\frac{24}{85}\) \(\sin^{-1}\frac{8}{17}+\sin^{-1}\frac{3}{5}=\sin^{-1}\frac{77}{85}\) \(\sin^{-1}\frac{8}{17}+\sin^{-1}\frac{3}{5}=\sin^{-1}\frac{85}{24}\) \(\sin^{-1}\frac{8}{17}+\sin^{-1}\frac{3}{5}=\tan^{-1}\frac{36}{77}\)

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

$sin^{-1}x+sin^{-1}y$ $sin^{-1}(x.\sqrt{1-y^2}+y.\sqrt{1-x^2})$ $=sin^{-1}[\frac{8}{17}.\sqrt{1-\frac{9}{25}}+\frac{3}{5}.\sqrt{1-\frac{64}{289}}]$ $=sin^{-1}[\frac{8}{17}.\frac{4}{5}+\frac{3}{5}.\frac{15}{17}]$ $=sin^{-1}(\frac{77}{85})$