[Cfp-interest 3018] Re: Annex G

Damian McGuckin damianm at esi.com.au
Sun Mar 3 15:12:56 PST 2024


Given a real number 'y' and a complex number 'z', and noting that G.7 says

 	asin ( i y ) = i asinh (y)

and remembering that

 	acosh(z) = i acos(z)
 	acos(z) = M_PI_2 - asin(z)

should we, for completeness, include the definitions

 	acos ( i y ) = CMPLX(M_PI_2, -asinh(y))
and
 	acosh ( i y ) = CMPLX(asinh(y), M_PI_2)

in G.7 or is my mathematics incorrect?  I would probably render those two 
definitions in mathematics.

Obviously those two definitions are not purely imaginary as they have both 
a real and an imaginary part.

- Damian


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