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29 Cards in this Set

  • Front
  • Back

csc x

Hyp/opp


1/sin x

cot x

Adj/opp


1/tan x


cos x/sin x

Sin x

Opp/hyp


1/csc x

Tan x

Opp/adj


1/cot x


Sin x/cos x

Cos x

Adj/hyp


1/sec x

Sec x

Hyp/adj


1/cos x

Pythagorean identities

Sin^2 x+cos^2 x=1


Tan^2 x+1=sec^2 x


1+cot^2 x=csc^2 x

Co-function of cos x

Sin (pi/2-x)

Co-function of sin x

Cos (pi/2-x)

Co-function of csc x

Sec (pi/2-x)

Co-function of sec x

Csc (pi/2-x)

Co-function of cot x

Tan (pi/2-x)

Co-function of tan x

Cot (pi/2-x)

Even identity

Cos (-x)=cos x


Sec (-x)=sec x

Odd identities

Sin (-x)=-sin x


Csc (-x)=-csc x


Tan (-x)=-tan x


Cot (-x)=-cot x

Cos (a+b)

Cos (a+b)=cos a cos b-sin a sin b

Cos (a-b)

Cos (a-b)=cos a cos b+sin a sin b

Sin (a-b)

Sin (a-b)=sin a cos b-sin b cos a

Sin (a+b)

Sin (a+b)=sin a cos b+sin b cos a

Tan (a-b)

Tan (a-b)=tan a-tan b/1+tan a tan b

Tan (a+b)

Tan (a+b)=tan a+tan b/1-tan a tan b

Sin 2x

2sin xcos x

Cos 2x

Cos^2 x-sin^2 x


2cos^2 x-1


1-2sin^2 x

Tan 2x

2tan x/1-tan^2 x

Sin x/2

+/-sqrt 1-cos x/2

Cos x/2

+/-sqrt 1+cos x/2

Tan x/2

1-cos x/sin x


Sin x/1+cos x

Law of sines

Sin A/a = sin B/b = sinC/c


a/sin A = b/sin B = c/sin C

Law of cosines

a^2 = b^2+c^2-2bc cos A


b^2 = a^2+c^2-2ac cos B


c^2 = a^2+b^2-2ab cos C