Question

How do you evaluate `tan^-1(tan(sqrt3/3))`?

Answer 1

`tan^-1 ( tan(sqrt3/3))= (sqrt3/3)`

Explanation:

Let `tan^-1 ( tan(sqrt3/3))=A :. tanA= tan(sqrt3/3) :. A= (sqrt3/3)`
`:.tan^-1 ( tan(sqrt3/3))= (sqrt3/3)`[Ans]