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sin(2x) =
2 sin(x) cos(x)
cos(2x) =
cos² (x) − sin² (x), 2 cos² (x) − 1, 1 − 2 sin² (x)
tan(2x) =
(2 tan(x)) / (1 − tan² (x))
sin(α ± β) =
sin(α) cos(β) ± cos(α) sin(β)
cos(α ± β) =
cos(α) cos(β) ∓ sin(α) sin(β)
tan(α ± β)
(tan(α) ± tan(β)) / (1 ∓ tan(α)tan(β))