[Date Index] [Thread Index] [Author Index]
Domain of Sin[ArcSin[x]] ?
I want to demonstrate to my students that in the real number system, Sin[ArcSin[x]] is only defined on [-1,1] because that is the domain of ArcSin[x]. When I Plot the composition, however, I get Sin[ArcSin[x]] = x for all real numbers, not just on [-1,1]. I tried this both with and without the RealOnly package. Is there any way to ensure that Mathematica uses only real numbers in its calculations, so that Sin[ArcSin[x]] is undefined when ArcSin[x] is not a real number? Michael Buescher Hathaway Brown School