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Level 466

Angle Identities


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sin²θ+cos²θ
1
tan²θ+1
sec²θ
cot²θ+1
csc²θ
sin(α+β)
sinαcosβ+cosαsinβ
sin(α-β)
sinαcosβ-cosαsinβ
cos(α+β)
cosαcosβ-sinαsinβ
cos(α-β)
cosαcosβ+sinαsinβ
tan(α+β)
(tanα+tanβ)÷(1-tanαtanβ)
tan(α-β)
(tanα-tanβ)÷(1+tanαtanβ)
sin(2θ)
2sinθcosθ
cos(2θ)
cos²θ−sin²θ or 2cos²θ−1 or 1−2sin²θ
tan(2θ)
2tanθ÷(1−tan²θ)
sin(x/2)
±√[(1−cosx)/2]
cos(x/2)
±√[(1+cosx)/2]
tan(x/2)
±√[(1−cosx)/(1+cosx)] or (1−cosx)÷sinx or sinx÷(1+cosx)