# Math Help - Evaluation of Sec...

1. ## Evaluation of Sec...

Evaluate:

Sec^-1 (sec (-Pi/6) )

I really don't have much of a clue!

Thankyou

2. Originally Posted by katedew987
Evaluate:

Sec^-1 (sec (-Pi/6) )

I really don't have much of a clue!

Thankyou

For any invertible function $f\,,\,\,f^{-1}(f(x))=x\,,\,\forall x$ in the definition domain of $f$

Tonio

3. Originally Posted by katedew987
Evaluate:

Sec^-1 (sec (-Pi/6) )

I really don't have much of a clue!

Thankyou
Well if we are only interested in the smallest positive solution that would be $\pi/6$ or the smallest absolute value negative solution $-\pi/6$

Now can you identify all of the solutions?

CB