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1/csc (θ) =
sin (θ)
1/sec (θ) =
cos (θ)
1/cot (θ) =
tan (θ)
1/sin (θ) =
csc (θ)
1/cos (θ) =
sec (θ)
1/tan (θ) =
cot (θ)
sin (θ) / cos (θ) =
tan (θ)
cos (θ) / sin (θ) =
cot (θ)
sin²(θ) + cos²(θ) =
1
1 + tan²(x) =
sec²(x)
1 + cot²(θ) =
csc²(θ)
1 - cos²(θ) =
sin²(θ)
1 - sin²(θ) =
cos²(θ)
sec²(θ) - 1 =
tan²(θ)
sin(α±β)
sinαcosβ±cosαsinβ
cos(α±β)
cosαcosβ∓sinαsinβ
2sinθcosθ
sin(2θ)
2cos²θ-1
cos(2θ)
1-2sin²θ
cos(2θ)
cos²θ-sin²θ
cos(2θ)