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csc θ =
1 ÷ sin θ
sec θ =
1 ÷ cos θ
cot θ =
1 ÷ tan θ
sin θ ÷ cos θ =
tan θ
cos θ ÷ sin θ =
tan θ
sin2 θ + cos2 θ =
1
tan2 θ + 1 =
sec2 θ
cot2 θ + 1 =
csc2 θ
sin(-θ) =
-sinθ
tan(-θ) =
-tanθ
cos(-θ) =
cosθ
sin (π/2 - θ) =
cosθ
cos (π/2 - θ) =
sinθ
tan(π/2 - θ) =
cotθ
sin(a±b) =
sin a cos b ± cos a sin b
cos(a±b) =
cos a cos b ∓ sin a sin b
tan (a±b) =
(tan a ± tan b) ÷ (1 ∓ tan a tan b)