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replace x with a theta
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tanθ=
sinθ/cosθ
cotθ=
cosθ/sinθ
cotθ=
1/tanθ
cscθ=
1/sinθ
secθ=
1/cosθ
sin2θ+cos2θ=
1
1+tan2θ=
sec2θ
1+cot2θ=
csc2θ
cos[π/2-θ]=
sinθ
sin[π/2-θ]=
cosθ
cot[π/2-θ]=
tanθ
tan[π/2-θ]=
cotθ
sec[π/2-θ]=
cscθ
csc[π/2-θ]=
secθ
sin(-θ)=
-sinθ
cos(-θ)=
cosθ
tan(-θ)=
-tanθ
cot(-θ)=
-cotθ
sec(-θ)=
sec(θ)
csc(-θ)=
-cscθ