Trig Identities for Students, Cheat Sheet of Mathematics

Download Trig Identities for Students and more Cheat Sheet Mathematics in PDF only on Docsity! Helpful Trig Identities Created by Alexei Jeffryes 1 Power Reduction Formulas Squares sin(u)2 = 1−cos(2u) 2 cos(u)2 = 1+cos(2u) 2 tan(u)2 = 1−cos(2u) 1+cos(2u) Cubes sin(u)3 = 3sin(u)−sin(3u) 4 cos(u)3 = 3cos(u)+cos(3u) 4 tan(u)3 = 3sin(u)−sin(3u) 3cos(u)+cos(3u) Forths sin(u)4 = 3−4cos(2u)+cos(4u) 8 cos(u)4 = 3+4cos(2u)+cos(4u) 8 tan(u)4 = 3−4cos(2u)+cos(4u) 3+4cos(2u)+cos(4u) Fifths sin(u)5 = 10sin(u)−5sin(3u)+sin(5u) 16 cos(u)5 = 10cos(u)+5cos(3u)+cos(5u) 16 tan(u)5 = 10sin(u)−5sin(3u)+sin(5u) 10cos(u)+5cos(3u)+cos(5u) 2 Multiplicative identity sin(x)cos(y) = 1 2(sin(x+ y) + sin(x− y) ) 3 Derivatives – Only for Calculus Students d dxsin(x) = cos(x) d dxcos(x) = −sin(x) d dxtan(x) = sec(x)2 d dxcot(x) = −csc(x)2 d dxsec(x) = sec(x)tan(x) d dxcsc(x) = −csc(x)cot(x) 1