Made-Up Trig Functions: Ambigusecant
Is secant 1/sin or 1/cos? The eternal confusion.
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Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2015-01-01-made-up-trig-functions--ambigusecant/ (CC BY-NC 4.0)Transcript
"ambigusecant(θ) = 1/sin(θ), I think—no, wait, it's 1/cos(θ)?" "Or is it something weird, like 1 − arccotan(θ)?"