Trig Identities Flashcards

1
Q

sin(A±B)

A

sinAcosB±cosAsinB

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2
Q

cos(A±B)

A

cosAcosB∓sinAsinB

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3
Q

tan(A±B)

A

tanA±tanB÷(1∓tanAtanB)

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4
Q

tanθ

A

sinθ÷cosθ

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5
Q

cotθ

A

cosθ÷sinθ
1÷tanθ

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6
Q

secθ

A

1÷cosθ

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7
Q

cosecθ

A

1÷sinθ

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8
Q

sin²θ+cos²θ

A

1

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9
Q

tan²θ+1

A

sec²θ

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10
Q

cot²θ+1

A

cosec²θ

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11
Q

sin2θ

A

2sinθcosθ

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12
Q

cos2θ

A

cos²θ-sin²θ
2cos²θ-1
1-2sin²θ

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13
Q

tan2θ

A

2tanθ÷(1-tan²θ)

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14
Q

sinAcosB

A

½(sin(A+B)+sin(A-B))

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15
Q

cosAsinB

A

½(sin(A+B)-sin(A-B))

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16
Q

sinAsinB

A

½(cos(A-B)-cos(A+B))

17
Q

sinA+sinB

A

2sin(½A+½B)×cos(½A-½B)

18
Q

sinA-sinB

A

2cos(½A+½B)×sin(½A-½B)

19
Q

cosA+cosB

A

2cos(½A+½B)×cos(½A-½B)

20
Q

cosA-cosB

A

-2sin(½A+½B)×sin(½A-½B)