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cos²(θ) + sin²(θ) =
1
1 + tan²(θ) =
sec²(θ)
cot²(θ) + 1 =
csc²(θ)
2sin(θ)cos(θ) =
sin(2θ)
cos²(θ) - sin2(θ) =
cos(2θ)
-sin²(θ) + cos²(θ) =
-cos(2θ)
2cos²(θ) - 1 =
cos(2θ)
1-2sin²(θ/2) =
cos(2θ)
1-sin²(θ/2) =
cos(θ)
d/dx (sin x) =
cos x
d/dx (tan x) =
sec²x
d/dx (sec x) =
sec x tan x
d/dx (cos x) =
-sin x
d/dx (cot x) =
-csc² x
d/dx (csc x) =
-csc x cot x