Joan S. Birman, An Inverse Function Theorem for Free Groups, Proceedings of the American Mathematical Society, Vol. 41, No. 2 (Dec., 1973), pp. 634-638 ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

Identifying and sketching related functions Inverse of a logarithmic or exponential function The rules from graph translations are used to sketch the derived, inverse or other related functions.

An inverse function takes the output and does the opposite to get back to the input. The tan function takes the angle Ɵ and gives the answer to opposite ÷ adjacent (in this example, 5/7). tan ...