Evaluate: `sin{sin^(-1)(-(3)/5)+cot^(-1)(-5/(12))}`

Explanation

`\sin {\cos ^{-1}(\frac{-3}{5})+cot ^{-1}(\frac{-5}{12}}`


Let `cos ^{-1}(frac{-3}{5})=a, cot ^{-1}(\frac{-5}{12})=b`


`cos a=frac{-3}{5}, cot b=frac{-5}{12}`


`cos ^{2} a=\frac{9}{25}, cot ^{2} b=\frac{25}{144}`



...