All identities Flashcards by Andres Alvarado | Brainscape

Q

Sin(x-y)

A

Sinxcosy - cosxsiny

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Q

Sin(x+y)

A

Sinxcosy + cosxsiny

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Q

Cos(x+y)

A

Cosxcosy-sinxsiny

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Q

Cos(x-y)

A

Cosxcosy + sinxsiny

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Q

Tan(x-y)

A

(Tanx-tany)
_________
1+tanxtany

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Q

Tan(x+y)

A

Tanx+tany
________
1-tanxtany

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Q

Sin2x

A

2sinxcosx

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Q

Cos2x

A

Cos^2x-sin^2x

1-2sin^2x

2cos^2x -1

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Q

Tan2x

A

2tanx
______
1-tan^2x

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Q

Sin(x/2)

A

_____________

+ - | (1-cosx)/2

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Q

Cos(x/2)

A

_____________

+ - | (1+cosx/2)

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Q

Tan(x/2)

A

Sinx/1+cosx

1-cosx/sinx

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Q

Sin(-x)

A

-sinx

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Q

Cos(-x)

A

Cosx

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Q

Tan(-x)

A

-tanx

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Q

Sinx + siny

A

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

Q

Sinx-siny

A

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

Q

Cosx+cosy

A

2cos(x+y/2)cos(x-y/2)

Q

Cosx-cosy

A

-2sin(x+y/2)sin(x-y/2)

Q

Cosxcosy

A

1/2(cos(x+y) + cos(x-y))

Q

Sinxsiny

A

1/2(cos(x+y) - cos(x-y))

Q

Sinxcosy

A

1/2(sin(x+y) + sin(x-y))

Q

Cosxsiny

A

1/2(sin(x+y) - sin(x-y))