double angle theorems and the like 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

cos(A-B)

A

cosAcosB + sinAsinB

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4
Q

sin(A-B)

A

sinAcosB - cosAsinB

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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

cos(2θ) (3 options)

A

cos^2(θ) - sin^2(θ)
1 - 2sin^2(θ)
2cos^2(θ) - 1

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8
Q

sin(2θ)

A

2sin(θ)cos(θ)

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9
Q

tan(2θ)

A

2tan(θ)/(1-tan^2(θ))

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10
Q

sinAcosB + cosAsinB

A

Sin (A+B)

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11
Q

cosAcosB - sinAsinB

A

Cos(A+B)

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12
Q

cosAcosB + sinAsinB

A

cos(A-B)

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13
Q

sinAcosB - cosAsinB

A

sin(A-B)

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14
Q

(tanA+tanB)/(1-tanAtanB)

A

tan (A+B)

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15
Q

(tanA+tanB)/(1+tanAtanB)

A

tan (A-B)

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16
Q

cos^2(θ) - sin^2(θ)

17
Q

2sin(θ)cos(θ)

18
Q

2tan(θ)/(1-tan^2(θ))

19
Q

1 - 2sin^2(θ)

20
Q

2cos^2(θ) - 1