Mr. G, during the unit tests the activeboard was conveniently damaged from reoccurring blunt force so the inverse trig derivatives were stuck on it. Will those formulas be given to us on the exam? If not, for studying purposes, would we just need sin, cos, tan derivatives and inverse sin, cos, tan derivatives for the exam or are you dropping some inverse reciprocal trig derivatives on us?

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You just need to know the sin, cos and tan derivatives, and perhaps their reciprocals (csc, sec and cot) if you don't want to come up with them on the spot. Don't worry about the inverse trig derivatives for this exam.