Precalculus - Trig Identities

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Includes Pythagorean, double-angle, and sum+difference

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4 Terms

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Pythagorean Identities

sin^2x+cos^2x=1
1+tan^2x=sec^2x
1+cot^2x=csc^2x

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Double Angle Identities

Sin(2x) = 2SinxCosx

Cos(2x) = Cos^2x - Sin^2x
Cos(2x) = 2Cos^2x - 1
Cos(2x) = 1 - 2Sin^2x

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Sum and Difference Identities

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)
sin(α - β) = sin(α)cos(β) - cos(α)sin(β)
cos(α + β) = cos(α)cos(β) - sin(α)sin(β)
cos(α - β) = cos(α)cos(β) + sin(α)sin(β)

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Reciprocal

cscx = 1/sinx

secx = 1/cosx

cotx = 1/tanx