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

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

• $\sin()$
• $\sinh()$
• $\text{arsin}()$ ($\sin^{-1}$)
• $\text{arsinh}()$ ($\sinh^{-1}$)
-
just fyi, the inverse to $\sinh$ is the $\text{arsinh}$, $\text{asinh}$ is incorrect (this notation is used for inverse functions of $\sin$ etc). I thought you ought to know, as you are writing a calculator app ;) –  CBenni Jan 2 '13 at 23:43
@CBenni Thanks a ton! –  Undo Jan 2 '13 at 23:46
And it's arcsin, not arsin. –  mrf Dec 9 '14 at 22:51

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