# 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:

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

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Thanks! You just changed how my app works! (Good Thing) – Undo Jan 2 '13 at 23:26
@ErwaySoftware No problem. Although your design need not mimic hardware calculators, you should still consider what your users may expect of calculators. For example, a popular one in the U.S. is TI-84. – user53153 Jan 2 '13 at 23:29

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)

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Thanks! Will take into consideration! – Undo Jan 2 '13 at 23:32