trigo formulasidentities Flashcards

1
Q

cos(x+y)=

A

cosxcosy-sinxsiny

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2
Q

cos(x-y)=

A

cosxcosy+sinxsiny

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3
Q

cos(pi/2 - x)=

A

sinx

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4
Q

cos(pi/2 +x)=

A

-sinx

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5
Q

sin(pi/2-x)=

A

cosx

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6
Q

sin (pi/2 +x )=

A

cosx

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7
Q

sin(x+y)=

A

sinxcosy+cosxsiny

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8
Q

sin(x-y)=

A

sinxcosy-cosxsiny

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9
Q

cos(pi-x)=

A

-cosx

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10
Q

sin(pi-x)

A

sinx

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11
Q

cos(pi+x)

A

-cosx

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12
Q

sin(pi+x)

A

-sinx

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13
Q

cos(2pi-x)

A

cosx

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14
Q

sin(2pi-x)

A

-sinx

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15
Q

tan(x+y)

A

tanx+tany/ 1-tanxtany

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16
Q

tan(x-y)

A

tanx-tany/ 1+tanxtany

17
Q

cot(x+y)

A

cotxcoty-1 / coty+cotx

18
Q

cot(x-y)

A

cotxcoty+1/ coty-cotx

19
Q

cos2x=cos^2x-sin^2x=2cos^2x-1=

A

1-2sin^2x= 1-tan^2x / 1+tan^2x

20
Q

sin2x=2sinxcosx=

A

2tanx/1+tan^2x

21
Q

tan2x=

A

2tanx/1-tan^2x

22
Q

sin3x=

A

3sinx-4sin^3x

23
Q

cos3x=

A

4cos^3x-3cosx

24
Q

tan3x=

A

3tanx-tan^3x/1-3tan^2x

25
Q

cosx+cosy=

A

2cos x+y/2 cos x-y/2

26
Q

cosx-cosy=

A

-2sin x+y/2 sin x-y/2

27
Q

sinx+siny=

A

2sin x+y/2 cos x-y/2

28
Q

sinx-siny

A

2cos x+y/2 sin x-y/2