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Pythagorean Identities

////////sin²∅ + cos²∅ = 1 \n ////////tan²∅ + 1 = sec²∅ \n ////////cot²∅ + 1 = cosec²∅

Sum and Difference Formulas

sin (x + y) = sin x cos y + cos x sin \n ////////////////////////////////// \n sin (x- y) = sin x cos y - cos x sin y \n ////////////////////////////////// \n cos (x + y) = cos x cos y - sin x sin y \n ////////////////////////////////// \n cos (x - y) = cos x cos y + sin x sin y \n ////////////////////////////////// \n tan (x + y ) = (tan x + tan y)/(1 - tan x tan y) \n ////////////////////////////////// \n tan (x - y) = (tan x - tan y)/(1 + tan x tan y)

Double Angle Identities

Sin(2x) = 2SinxCosx \n ////////////////////////// \n Cos(2x) = Cos^2x - Sin^2x \n ////////////////////////// \n Cos(2x) = 2Cos^2x - 1 \n ////////////////////////// \n Cos(2x) = 1 - 2Sin^2x \n ////////////////////////// \n Tan(2x) = (2Tanx) / (1 - Tan^2x)

Law of cosines

a²=b²+c²-2bcCosA

Law of Sines

sinA/a = sinB/b = sinC/c