Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions

We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin(-1)x/sinh(-1)x and tanh(-1)x/tan(-1)x The main results provide polynomial bounds using even quadratic functions and exponential bounds under the form e(ax2). Graph validation is also performed.

Automated summary

In this paper, new simple bounds are established for the quotients of inverse trigonometric and inverse hyperbolic functions. Polynomial bounds using even quadratic functions and exponential bounds are provided. Graph validation is also performed.