arcsin(x) or sin​⁻¹(x)?

Depends on what the question wants.

I've never seen a question that says give your answer using arc-notation

What i mean to say was if the question wanted me to rearrange arcsin to .... or if i had to find the value X.

They both mean the same thing anyway so either can be used makes absolutely no difference.

But seems more neater than

Which notation do you prefer,

$arcsin x$ or $sin^{-1} x$?

I used $sin^{-1} x$ until I learnt about $arcsin x$ in Year 12 and thought for half a year how superior I was over the $sin^{-1} x$ peasants.. But then I realised how much time I save by using $sin^{-1} x$, so I've since reverted.

Your stories?

Which notation do you prefer,

$arcsin x$ or $sin^{-1} x$?

I used $sin^{-1} x$ until I learnt about $arcsin x$ in Year 12 and thought for half a year how superior I was over the $sin^{-1} x$ peasants.. But then I realised how much time I save by using $sin^{-1} x$, so I've since reverted.

Your stories?

$\text{arcsin}$, because it doesn't contradict the $\sin^2(x) = (\sin(x))^2$ notation. $\sin^{-1}(x)$ should for consistency be $\dfrac{1}{\sin(x)}$.

I always use sin^-1(x) because it's quicker, easier and what it says on calculators.

But my calculator gives me maths error for $\sqrt{-1}$, should I define i=maths error?

Seriously though, $sin^{-1}(x)$ is not easier to write than arcsin(x).

What about $asin(x)$?

I think you need a better calculator then, mine gives the answer as i...
In my opinion it is, as -1 is only two small straight lines and arc is three letters, but fair enough if you feel arcsin is easier it's perfectly acceptable too.

It's the same as writing y' instead of dy/dx, when something is used a lot mathematicians tend to find a quicker way of doing it.

I'm using the standard one that most people use for exams. (Except mine's in pink ).

I'm glad someone came up with writing partial derivatives like $\displaystyle u_x=\frac{\partial }{\partial x}u(x,t)$. Although last week we were using $u_\xi$ and that was an absolute nightmare to write down.

But my calculator gives me maths error for $\sqrt{-1}$, should I define i=maths error?

Seriously though, $sin^{-1}(x)$ is not easier to write than arcsin(x).

get a ti 84 or a fx991es should sort that problem with i for you

get a ti 84 or a fx991es should sort that problem with i for you