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Created attachment 84716 [details]
trignometry inverse sample file

sample for sin inverse, cos inverse etc..

Windows 8 is my operating system

step 1: open document, click insert>object>formula
step 2: In Element Table, we select f(x)
Step 3: Click on All elements of 3rd Row
Step 4: We shown arcsin, arccos in .odt file instead of sin^-1, cos^-1

arcsin() is the inverse function to sin().
See https://en.wikipedia.org/wiki/Arcsin
There is also an explanation of the problems using an negative exponent.

But YES: A button for an inverse function should show what it produces.

If you prefer the other notation simply use sin^-1(x).

Then, could you please change your options to ARC