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sin(x) / cos(x) =
tan(x)
cos(x) / sin(x) =
cot(x)
1 / sin(x) =
csc(x)
1 / cos(x) =
sec(x)
1 / tan(x) =
tan(x)
sin²(x) + cos²(x) =
1
1 - sin²(x) =
cos²(x)
1 - cos²(x) =
sin²(x)
sec²(x) - tan²(x) =
1
sec²(x) - 1 =
tan²(x)
tan²(x) + 1 =
sec²(x)
csc²(x) - cot²(x) =
1
csc²(x) - 1 =
cot²(x)
cot²(x) + 1 =
csc²(x)
sin(α + β) =
sin(α)cos(β) + cos(α)sin(β)
sin(α - β) =
sin(α)cos(β) - cos(α)sin(β)
cos(α + β) =
cos(α)cos(β) - sin(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))
tan(α - β) =
(tan(α) - tan(β)) / (1 + tan(α)tan(β))
sin(2x) =
2sin(x)cos(x)
cos(2x) =
cos²(x) - sin²(x)
cos(2x) also =
2cos²(x) - 1
cos(2x) also also =
1 - 2sin²(x)
tan(2x) =
(2tan(x)) / (1 - tan²(x))
sin²(x) =
½(1 - cos(2x))
cos²(x) =
½(1 + cos(2x))
tan²(x) =
(1 - cos(2x)) / (1 + cos(2x))