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Problem : What is the difference between arcsine and Arcsine?

The first one, arcsine, is an inverse trigonometric relation, whose range is all real numbers. The second one, Arcsine, is an inverse trigonometric function whose range is [- ,].

Problem : What is arccos(1)?

arccos(1) = 0

Problem : What is arccot(1)?

arccot(1) =

Problem : What is arcsin()?

arcsin() =

Problem : What is arcsec(0)?

No solution; the domain of Arcsecant does not include the real numbers between - 1 and 1.