In a Calculator, Which Button Should be Bigger: $\sinh()$ or $\rm asin()$?

Question

I am making a calculator app and would like to know: Which of the following functions would be used more often:

• $\sin()$
• $\sinh()$
• $\text{arsin}()$ ($\sin^{-1}$)
• $\text{arsinh}()$ ($\sinh^{-1}$)

Answer 1

$\sin$ will be used much more often than $\sinh$. As for the inverses, I would expect a calculator to have an INV button which changes all trigonometric functions to their inverses.

Answer 2

My experience tells me that $sin^{-1}$ will be pressed the most, then $sin$.

To be honest, I never used the other two buttons in any of high-school problems (and in my basic physics course)