The Inverse of Sine
sin⁻¹ isn't 1/sin, just as the inverse of tying your shoelaces is untying them, not 1/(tying your shoelaces).
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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/2016-07-04-the-inverse-of-sine/ (CC BY-NC 4.0)Transcript
"The inverse of sine is not 1/sine, just as the inverse of tying your shoelaces is not 1/(tying your shoelaces)."