sin(tan^(-1)(12/5))

Answer 1

To evaluate the expression sin(tan^(-1)(12/5)), we can start by using the relationship between tan^(-1) and sin:

tan^(-1)(x) = sin(tan^(-1)(x)) / cos(tan^(-1)(x))

Since we're given tan^(-1)(12/5), we can substitute x = 12/5 into the equation:

tan^(-1)(12/5) = sin(tan^(-1)(12/5)) / cos(tan^(-1)(12/5))

Hence, the expression sin(tan^(-1)(12/5)) is equal to sin(tan^(-1)(12/5)) / cos(tan^(-1)(12/5)).