Made-Up Trig Functions: Antisine
A jagged wave insists it is nothing like sin(θ).
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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2015-01-01-made-up-trig-functions--antisine/ (CC BY-NC 4.0)Transcript
"antisine(θ) = everything that sin(θ) is not" [a smooth sine wave; a jagged one: "I'm nothing like you! I'll never be like you!"]