Compound Angles Flashcards

1
Q

sin(A+B)

A

sinAcosB + cosAsinB

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2
Q

sin(A-B)

A

sinAcosB - cosAsinB

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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

cotAcotB - 1
cotB + cotA

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8
Q

cot(A-B)

A

cotAcotB + 1
cotB - cotA

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9
Q

sin(A+B)sin(A-B)

A

sin²A - sin²B
Or
cos²B - cos²A

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10
Q

cos(A+B)cos(A-B)

A

cos²A - sin²B
Or
cos²B - sin²A

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11
Q

2sinAcosB

A

sin(A+B) + sin(A-B)

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12
Q

2cosAsinB

A

sin(A+B) - sin(A-B)

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13
Q

2cosAcosB

A

cos(A+B) + cos(A-B)

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14
Q

2sinAsinB

A

cos(A-B) - cos (A+B)

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15
Q

sinC + sinD

A

2sin((C+D)/2)cos((C-D/2))

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16
Q

sinC - sinD

A

2cos((C+D)/2)sin((C-D/2))

17
Q

cosC + cosD

A

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

18
Q

cosC - cosD

A

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