trig ids
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Last updated 8:14 AM on 11/30/22
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16 Terms
1
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cos sum formula
cos(A+B) = cosAcosB - sinAsinB
2
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cos difference formula
cos(A-B) = cosAcosB + sinAsinB
3
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sin sum formula
sin(A+B)=sinAcosB+cosAsinB
4
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sin difference formula
sin(A-B)=sinAcosB-cosAsinB
5
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even/odd ids
even = cos and sec (cos(x) = cos(-x)), odd = sin, tan, csc, cot
6
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reciprocal id
sec x = 1/cosx
7
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quotient id
tanx= sinx/cosx (cotx=cosx/sinx)
8
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pythagorean id (/H^2)
cos^2x+sin^2x=1
cos^2x= 1-sin^2x (1+sinx)(1-sinx)
sin^2x = 1-cos^2x (1+cosx)(1-cosx)
cos^2x= 1-sin^2x (1+sinx)(1-sinx)
sin^2x = 1-cos^2x (1+cosx)(1-cosx)
9
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pythagorean id (/0^2)
cot^2x+1 = csc^2x
10
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pythagorean id (/A^2)
1+ tan^2x = sec^2x
11
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cofunction id
sinx = cos(pi/2 - x)
12
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double angle id tan
tan2x= 2tanx/1-tan^2x
13
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double angle id cos
cos2x = cos^2x-sin^2x , 2cos^2x-1 , 1-2sin^2x
14
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double angle id sin
2sinxcosx
15
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tan sum formula
tan(A+B) = tanA+tanB/1-tanAtanB
16
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tan difference formula
tan(A-B)= tanA-tanB/1+tanAtanB