I've seen authors use colog_b(x) to denote the "cologarith" base b, which is defined to be the logarithm base 1/b. colog_b(x) is simply -log_b(x), and so it's not clear what purpose colog serves. Maybe some mnemonic purpose.
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cos(x) = sin(pi/2 - x) so "cosine" is similarly unnecessary.
What's handy depends on what one is doing....
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I always tell my calc students that the profusion of trig functions was a trick to keep them occupied during high school. But it ain't like the old days! How many of you remember the haversine? https://en.wikipedia.org/wiki/Haversine_formula …
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I use it* at work for calculating distance between points on the Earth's surface: "Here are all the ___ within 100 miles of Chicago!" *an implementation I copied from stackoverflow
End of conversation
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