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Trig Identities 2

Sum, diff, product, power

TermDefinition
sin(u±v) sin u cos v ± cos u sin v
cos(u±v) cos u cos v ±' sin u sin v
tan(u±v) tan u ± tan v / 1 ±' tan u tan v
sin(2u) 2 sin u cos u
cos(2u) cos²u-sin²u or 2cos²u - 1 or 1-2sin²u
tan(2u) 2 tan u / 1 - tan²u
sin²u 1/2[1-cos(2u)]
cos²u 1/2[1+cos(2u)]
tan²u 1 - cos(2u) / 1 + cos(2u)
sin u + sin v 2 sin (u+v/2) cos (u-v/2)
sin u - sin v 2 cos (u+v/2) sin (u-v/2)
cos u + cos v 2 cos (u+v/2) cos (u-v/2)
cos u - cos v -2 sin (u+v/2) sin (u-v/2)
sin u sin v 1/2 [cos(u-v) - cos(u+v)]
cos u cos v 1/2[cos(u-v) + cos(u+v)]
sin u cos v 1/2[sin(u+v) + sin (u-v)]
cos u sin v 1/2[sin(u+v) - sin (u-v)]
sin (u/2) sqrt (1-cosu / 2)
cos (u/2) sqrt (1+cosu / 2)
tan (u/2) (1-cosu)/sinu or sinu/(1+cosu)
Created by: jons.351
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