Trig Formulas

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Six Trigonometric Functions

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Trig Formulas

Sum

tan(A+B) =(sinAcosB+sinBcosA)/(cosAcosB+/sinAsinB)

sin(A+B)=sinAcosB+cosAsinB

cos(A+B)=cosAcosB-sinAsinB

difference

sin(A+B)=sinAcosB-cosBsinA

cos(A-B)=cosAcosB+sinAsinB

tan(A-B)=(sinAcosB-sinBcosA)/(cosAcosB+sinAsinB)

Double Angle

tan(2x)=(2tanx)/(1-tan^2x)

cos(2x)

1-2sin^2x

2cos^2x-1

cos^2x-sin^2x

sin(2x)=2sinxcosx

Half Angle

tan(x/2)=+-sqrt(1-cosx)/1+cosx)

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

sin^2x=(1-cos2x)/(2)