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Trigonometric formulas and identites
38 cards·by RL3
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^2 x + cos^2 x =
1
1 - sin^2 x =
cos^2 x
1 - cos^2 x =
sin^2 x
tan^2 x + 1 =
sec^2 x
sec^2 x - tan^2 x =
1
1-sec^2 x =
-tan^2 x
cot^2 x + 1 =
csc^ x
csc^ 2 x - cot^2 x =
1
sin(pi/2 - x) =
cos x
cos(pi/2 - x) =
sin x
tan(pi/2 -x) =
cot x
cot(pi/2 - x) =
tan x
sec(pi/2 - x) =
csc x
csc(pi/2 - x) =
sec x
sin(-x) =
-sin x
csc(-x) =
-csc x
tan(-x) =
-tan x
cot(-x) =
-cot x
cos(-x) =
cos x
sec(-x) =
sec x
sin(u + v) =
sin u cos v + sin v cos u
sin(u - v) =
sin u cos v - sin v cos u
cos (u + v) =
cos u cos v -sin u sin v
cos (u - v) =
cos u cos v + sin u sin v
tan(u + v) =
(tan u + tan v) / (1 - tan u tan v)
tan (u - v) =
(tan u - tan v )/( 1 + tan u tan v)
sin 2x =
2 sin x cos x
cos 2x =
cos^2 x - sin^2 x , 2 cos^2 x - 1 , 1 - 2 sin^2 x
tan 2x =
(2 tan x) / (1 - tan^2 x)
sin (x/2) =
+ sqrt ( (1 - cos x) / (2) ) , 1 sqrt ( (1-cos x) / (2) )
cos (x/2) =
+ sqrt ( (1 + cos x) / (2) )
tan (x/2) =
(1 - cos x) / (sin) , (sin x) / (1 + cos x)