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sin(α ± β) =
= sinα*cosβ
cos(α ± β) =
= cosα*cosβ
tan(α ± β) =
= tanα ± tanβ/1 ∓ tanα*tanβ
csc(α ± β) =
= secα secβ cscα cscβ/secα cscβ ± cscα secβ
sec(α ± β) =
= secα secβ cscα cscβ/cscα cscβ ∓ secα secβ
cot(α ± β) =
= cotα cotβ ∓ 1/cotβ ∓ cotα
sin(2θ) =
= 2sinθcosθ
cos(2θ) =
= cos(θ)2 - sin(θ)2
csc(x) =
1/sin(x) =
sec(x) =
1/cos(x) =
cot(x) =
1/tan(x)
sec2(x) =
1 + tan2(x) =
csc2(x) =
1 + cot2(x) =
sin(x/2) =
±√(1 - cos(x)/2)
cos(x/2) =
±√(1+cos(x)/2)
tan(x/2) =
1 - cos(x)/sin(x) =