formules Flashcards

1
Q

cosA*cos B

A

1/2 (cos(A+B) + cos(A-B))

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2
Q

sinA*sinB

A

-1/2 (cos(A+B)-cos(A-B))

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3
Q

sinA*cosB

A

1/2 (sin(A+B) + sin(A-B))

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4
Q

sinA + sinB

A

2 * sin(A+B/2) * cos(A-B/2))

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5
Q

sinA - sinB

A

2 * cos(A+B/2) * sin(A-B/2))

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6
Q

cosA + cosB

A

2 * cos(A+B/2) * cos(A-B/2)

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7
Q

cosA - cosB

A

-2 * sin(A+B/2) * sin(A-B/2))

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8
Q

cos2A

A

2cos²A - 1 = cos²A - sin²A = 1 - 2sin²A

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9
Q

2cos²A - 1

A

cos2A = cos²A - sin²A = 1 - 2sin²A

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10
Q

cos²A - sin²A

A

2cos²A - 1 = cos2A = 1 - 2sin²A

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11
Q

1 - 2sin²A

A

2cos²A - 1 = cos2A = cos²A - sin²A

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12
Q

sin2A

A

2sinAcosA

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13
Q

cos A (en fonction de tan)

A

posons t=tan(A/2)

1-t² / 1+t²

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14
Q

sin A (en fonction de tan)

A

posons t=tan(A/2)

2t / 1+t²

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15
Q

tan(A+B)

A

tanA + tanB / 1 - tanA*tanB

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16
Q

tan(A-B)

A

tanA - tanB / 1 + tanA*tanB

17
Q

tan 2A

A

2tanA / 1 - tan²A