While studying in P.75 of inverse trigonometric functions it tells we have to restrict our domain before finding the inverse.But I can't get why we choose $[-\pi/2,\pi/2]$?Why can't we choose $[\pi/2,3\pi/2]$ where the function arcsin is invertible on this interval?
Asked
Active
Viewed 2,007 times
1 Answers
0
You totally can. You can choose any interval where it's invertable. It's just "natural" to choose $[-\pi/2,\pi/2]$ as most "real" angles are around there.
-
:Could you tell what did you meant by 'real' angles? – justin Jan 20 '16 at 06:40
-
1@justin Would a carpenter tell you 45 degrees or 765 degrees? – Jan 20 '16 at 06:42
-
:That's true.Why do we include negative values in the range when we actually can start from 90 to 270 degrees where it's all positive? – justin Jan 20 '16 at 06:44
-
@justin You could, but I think having 0 is nice.That's really all there is to it. – Jan 20 '16 at 06:46
-
:Yeah they(DKW) might have selected the first half of the sin function. – justin Jan 20 '16 at 06:55