Question

How do you find the exact value for `sin (tan^-1 (3/4))`?

Answer 1

`=sin(tan^-1(3/4))=sin(cot^-1(4/3))=sin(csc^-1sqrt(1+(4/3)^2))`
`=sin(csc^-1(5/3))=sin(sin^-1(3/5))=3/5`