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15 Cards in this Set
- Front
- Back
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reciprocal identities (3)
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csc x= (1/sin x)
sec x=(1/cos x) cot x=(1/tan x) |
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Quotient identities (2)
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tan x= sin x/cos x
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Pythagorean identities (3)
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sin^2 x+ cos^2 x = 1
tan^2 x+ 1= sec^2 x cot^2 x+ 1=scs^2 x |
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Even/odd identities (6)
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sin -x= -sin x
cos -x= cos x tan -x= -tan x csc -x= -csc x sec -x= sec x cot -x= -cot x |
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cofunction Identites (3)
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sin x= cos (90degrees -x)
tan x= cot(90degrees -x) sec x= csc(90 degrees -x) |
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sum/difference formulas (6)
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cos(A + B)=cosAcosB-sinAsinB
cos (A -B)=cosAcosB+sinAsinB sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-cosAsinB tan(A+B)= tanA+tanB/(1-tanAtanB) tan(A-B)=tanA-tanB/(1+tanAtanB) |
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double angle formulas(5)
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sin(2x)=2sinxcosx
cos(2x)=cos^2 x- sin^2 x cos(2x)=1-2sin^2 x cos(2x)=2cos^2 x -1 tan(2x)=2tanx/(1-tan^2 x) |
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half-angle formulas (3)
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sin (x/2) = +- sq. rt.(1-cosx/2)
cos(x/2)= +- sq. rt.(1+cosx/2) tan(x/2)= +- sq. rt.(1-cosx/(1+cosx)) |
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identity
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an equation that is true for all allowable values of x. (I think?)
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Principal values of y=sin^-1(x)
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-pi/2<=y<=pi/2
(<=means 'less than or equal to') |
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principal values of y=cos^-1(x)
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0<=y<=pi
(<= means 'less than or equal to') |
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principal values of y=tan^-1(x)
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-pi/2<y<pi/2
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principal values of y=csc^-1(x)
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-pi/2<=y<=pi/2, y does not =0
(<= means 'less than or equal to') |
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principal values of y=sec^-1(x)
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0<=y<=pi, y does not= pi/2
(<= means 'less than or equal to') |
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principal values of y=cot^-1(x)
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0<y<pi
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