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sin x =
1 / csc x
cos x =
1 / sec x
tan x =
1 / cot x
csc x =
1 / sin x
sec x =
1 / cos x
cot x =
1 / tan x
sin x / cos x =
tan x
cos x / sin x =
cot x
sin2 x + cos2 x =
1
1 + tan2 x =
sec2 x
1 + cot2 x =
csc2 x
sin(-x) =
-sin x
cos(-x) =
cos x
tan(-x)
-tan x
csc(-x) =
-csc x
sec (-x) =
sec x
cot(-x)
-cot x
sin(a+b) =
sin a cos b + cos a sin b
sin(a -b) =
sin a cos b - cos a sin b
cos (a+b) =
cos a cos b - sin a sin b
cos (a-b)
cos a cos b + sin a sin b
sin (2u) =
2 sin u cos u
cos2 u - sin2 u =
cos (2u)
2 cos2 u -1 =
cos (2u)
1 - 2 sin2 u =
cos (2u)