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Trigonometry

Basics

sin(a) = 1 / cosec(a)

cos(a) = 1 / sec(a)

tan(a) = 1 / cot(a)

cot(a) = 1 / tan(a)

sin2(a) + cos2(a) = 1

tan2(a) + 1 = sec2(a)

cot2(a) + 1 = cosec2(a)

Addition Formulas

sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

sin(a-b) = sin(a)cos(b) - cos(a)sin(b)

cos(a+b) = cos(a)cos(b) - sin(a)sin(b)

cos(a-b) = cos(a)cos(b) + sin(a)sin(b)

Half Angle

Double Angle

Law of Sines

Law of Cosines