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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