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!Trig Cheat Sheet - University of Utah

2005 Paul Dawkins trig Cheat Sheet Definition of the trig Functions Right triangle definition For this definition we assume that 02 << or 090 < < . oppositesinhypotenuse = hypotenusecscopposite = adjacentcoshypotenuse = hypotenusesecadjacent = oppositetanadjacent = adjacentcotopposite = Unit circle definition For this definition is any angle. sin1yy == 1cscy = cos1xx == 1secx = tanyx = cotxy = Facts and Properties Domain The domain is all the values of that can be plugged into the function. sin , can be any angle cos , can be any angle tan , 1,0,1,2,2nn +=.

Formulas and Identities Tangent and Cotangent Identities sin cos tan cot cos sin θθ θθ θθ == Reciprocal Identities 11 csc sin sin csc 11 sec cos cos sec 11 cot tan tan cot θθ θθ θθ θθ θθ θθ == == == Pythagorean Identities 22 22 22 sin cos 1 tan 1 sec 1 cot csc θθ θθ θθ += += += Even/Odd Formulas () () () sin sin csc csc ...

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