Trigonometric Identities

[Pages:1]Addition Formulas

Double Angle Formulas

Power Reducing Formulas

Trigonometric Identities

cos(x-y)=cosx cosy+ sinx siny cos(x+y)=cosx cosy - sinx siny

sin(x-y)=sinx cosy - cosx siny sin(x+y)=sinx cosy + cosx siny

cos(2x)=cos(x+x)=cosx cosx -sinx sinx

sin(2x) = sin(x+x) =sinx cosx + cosx sinx

cos(2x)=cos2x-sin2x

sin(2x)=2 sinx cosx

cos(2x)=cos2x-(1-cos2x)=2cos2x-1 cos(2x) = 2cos2x-1 2cos2x=1+cos(2x) cos2x=(1+cos2x)/2

cos(2x)=(1-sin2x)-sin2x=1-2sin2x cos(2x)=1-2sin2x 2sin2x=1-cos(2x) sin2x=(1-cos2x)/2

Half Angle Formulas

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