Which of the following is true?
Answer & explanation
Correct answer: option 2
$sin^{-1}x+sin^{-1}y$
$sin^{-1}(x.\sqrt{1-y^2}+y.\sqrt{1-x^2})$
$=sin^{-1}[\frac{8}{17}.\sqrt{1-\frac{9}{25}}+\frac{3}{5}.\sqrt{1-\frac{64}{289}}]$
$=sin^{-1}[\frac{8}{17}.\frac{4}{5}+\frac{3}{5}.\frac{15}{17}]$
$=sin^{-1}(\frac{77}{85})$