Wednesday, February 9, 2011

I'm having issues remembering the domains and ranges of the inverse trigonometric functions, so I think it would be helpful to anyone reading that I post them here.

arccosx    Domain: -1 < x < 1
                Range: 0 < y < π

arcsinx     Domain:  -1 < x < 1
                Range:  -π/2 < y < π/2

arctanx     Domain: all values of x
                Range: -π/2 < y < π/2

arcsecx    Domain: all values of x except -1 < x < 1
               Range: 0 < y < π   arcsecx =/= π/2

arccscx    Domain:  The same as arcsecx
               Range:  -π/2 < y < π/2

arccotx    Domain: All values of x
               Range: -π/2 < y < π/2

I've got copious amounts to do tonight, so I'll probably be posting random tidbits all evening.

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