Trig Identities Flashcards

1
Q

Sin(A+B)

A

SinaACosB + CosASinB

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2
Q

Sin(A-B)

A

SinACosB - SinBCosA

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3
Q

Cos(A+B)

A

CosACosB-SinASinB

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4
Q

Cos(A-B)

A

CosACosB+SinASinB

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5
Q

Tan(A+B)

A

TanA + TanB / 1-TanATanB

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6
Q

Tan(A-B)

A

TanA - TanB / 1+TanATanB

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7
Q

Cot(A+B)

A

CotBCota-1 / CotB + CotA

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8
Q

Cot(A-B)

A

CotBCota+1 / CotB - CotA

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9
Q

Sin(A+B) Sin(A-B)

A

Sin^2A - Sin^2B

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10
Q

Cos(A+B) Cos(A-B)

A

Cos^2A-Sins^2B

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11
Q

2SinA CosB

A

Sin(A+B) + Sin(A-B)

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12
Q

2CosA SinB

A

Sin(A+B) - Sin(A-B)

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13
Q

2SinA CosB

A

Sin(A+B) - Cos(A-B)

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14
Q

2CosA CosB

A

Cos(A+B) + Cos(A+B)

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15
Q

Sin C + Sin D

A

2 Sin(C+D/2) Cos(C-D/2)

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16
Q

Sin C - Sin D

A

2 Cos(C+D/2) Sin(C-D/2)

17
Q

Cos C + Cos D

A

2 Cos(C+D/2) Cos(C-D/2)

18
Q

Cos C - Cos D

A

-2 Sin(C+D/2) Cos(C-D/2)

19
Q

Sin 2θ

A

2SinθCosθ

20
Q

Cos 2θ

A

Cos^2 θ - Sin^2 θ

21
Q

1 + Cos 2θ

A

2Cos^2θ

22
Q

1 - Cos 2θ

A

2Sin^2θ

23
Q

Tan 2θ

A

2tanθ / 1-tan^2θ

24
Q

Sin3θ

A

3Sinθ - 4Sin^3θ

25
Q

Cos 3θ

A

4Cos^3θ - 3Cosθ