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29 Cards in this Set
- Front
- Back
csc x |
Hyp/opp 1/sin x |
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cot x |
Adj/opp 1/tan x cos x/sin x |
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Sin x |
Opp/hyp 1/csc x |
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Tan x |
Opp/adj 1/cot x Sin x/cos x |
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Cos x |
Adj/hyp 1/sec x |
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Sec x |
Hyp/adj 1/cos x |
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Pythagorean identities |
Sin^2 x+cos^2 x=1 Tan^2 x+1=sec^2 x 1+cot^2 x=csc^2 x |
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Co-function of cos x |
Sin (pi/2-x) |
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Co-function of sin x |
Cos (pi/2-x) |
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Co-function of csc x |
Sec (pi/2-x) |
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Co-function of sec x |
Csc (pi/2-x) |
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Co-function of cot x |
Tan (pi/2-x) |
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Co-function of tan x |
Cot (pi/2-x) |
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Even identity |
Cos (-x)=cos x Sec (-x)=sec x |
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Odd identities |
Sin (-x)=-sin x Csc (-x)=-csc x Tan (-x)=-tan x Cot (-x)=-cot x |
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Cos (a+b) |
Cos (a+b)=cos a cos b-sin a sin b |
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Cos (a-b) |
Cos (a-b)=cos a cos b+sin a sin b |
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Sin (a-b) |
Sin (a-b)=sin a cos b-sin b cos a |
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Sin (a+b) |
Sin (a+b)=sin a cos b+sin b cos a |
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Tan (a-b) |
Tan (a-b)=tan a-tan b/1+tan a tan b |
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Tan (a+b) |
Tan (a+b)=tan a+tan b/1-tan a tan b |
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Sin 2x |
2sin xcos x |
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Cos 2x |
Cos^2 x-sin^2 x 2cos^2 x-1 1-2sin^2 x |
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Tan 2x |
2tan x/1-tan^2 x |
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Sin x/2 |
+/-sqrt 1-cos x/2 |
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Cos x/2 |
+/-sqrt 1+cos x/2 |
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Tan x/2 |
1-cos x/sin x Sin x/1+cos x |
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Law of sines |
Sin A/a = sin B/b = sinC/c a/sin A = b/sin B = c/sin C |
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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 |