Trigonometry Formulas

Unit Circle

Unit Circle

Unit Circle Values

Trig Values

Reciprocal Identities

sinθ=1cscθcosθ=1secθtanθ=1cotθcotθ=1tanθsecθ=1cosθcscθ=1sinθ

Ratio Indentities

tanθ=sinθcosθ       cotθ=cosθsinθ

Pythagorean Identities

sin2θ+cos2θ=11+tan2θ=sec2θ1+cot2θ=csc2θ

Sum and Difference Formulas

sin(A+B)=sinAcosB+cosAsinBsin(A-B)=sinAcosB-cosAsinBcos(A+B)=cosAcosB-sinAsinBcos(A-B)=cosAcosB+sinAsinBtan(A+B)=tanA+tanB1-tanAtanBtan(A-B)=tanA-tanB1+tanAtanB

Double-Angle Formulas

sin2A=2sinAcosA                     cos2A=cos2A-sin2A           =2cos2A-1           =1-2sin2Atan2A=2tanA1-tan2A
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 [x2  12  π  xdx ] 
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