How do you evaluate $sec(sec^-1(-1))$ ?

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Answer 1 · 2016-10-17T17:37:44

$sec(sec^-1(-1)) = -1$

For any function and its inverse:

$f(f^-1(x)) = x$

This is half of the definition of the inverse; the other half is:

$f^-1(f(x)) = x$

How do you evaluate sec(sec^-1(-1))sec(sec^-1(-1))?