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Half-Angle Formulas
sin2x=
((1-cos(2x))/2
cos2x=
((1+cos2x)/2)
Double-Angle
sin2x=
2sinxcosx
cos2x=
cos2x-sin2x = 2cos2x-1 = 1-2sin2x
tan2x=
(2tanx)/(1-tan2x)
Addition and Subtraction formulas
sin(x+y)=
sinxcosy +cosxsiny
sin(x-y)=
sinxcosy - cosxsiny
cos(x+y) =
cosxcosy - sinxsiny
cos(x-y)=
cosxcosy + sinxsiny
tan(x+y)=
(tanx+tany)/(1-tanxtany)
tan(x-y)=
(tanx-tany)/(1+tanxtany)
Fundamental Identities
cscθ=
1/sinθ
secθ=
1/cosθ
tanθ=
sinθ/cosθ
cotθ=
cosθ/sinθ
cotθ=
1/tanθ
sin2θ+cos2θ=
1
1+tan2θ=
sec2θ
1+cot2θ=
csc2θ
sin(-θ)=
-(sinθ)
cos(-θ)=
cosθ
tan(-θ)=
-tanθ
sin(∏/2-θ)=
cosθ
cos(∏/2-θ)=
sinθ
tan(∏/2-θ)=
cotθ
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