Trigonométrie Flashcards

1
Q

Cos^2(x)+sin^2(x)=

A

1

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2
Q

Cos(2a)=

A

Cos^2(a)-Sin^2(a) = 2cos^2(a)-1 = 1-2sin^2(a)

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3
Q

Sin(2a) =

A

2cos(a)sin(a)

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4
Q

Cos^2(a) =

A

(1+cos2a)/2

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5
Q

Sin^2(a) =

A

(1-cos2a)/2

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6
Q

2cos(a)cos(b) =

A

Cos(a+b) + Cos(a-b)

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7
Q

Cos(a+b) =

A

Cos(a)Cos(b)-Sin(a)Sin(b)

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8
Q

Cos(a-b)

A

Cos(a)Cos(b)+Sin(a)Sin(b)

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9
Q

2sin(a)sin(b) =

A

cos(a-b) - cos(a+b)

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10
Q

Sin(a+b) =

A

Sin(a)Cos(b) + Sin(b)Cos(a)

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11
Q

Sin(a-b) =

A

Sin(a)Cos(b) - Sin(b)Cos(a)

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12
Q

2sin(b)cos(a) =

A

sin(a+b) - sin(a-b)

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13
Q

2sin(a)cos(b) =

A

Sin(a+b) + Sin(a-b)

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14
Q

Sin(a) + Sin(b) =

A

2sin((a+b)/2)cos((a-b)/2)

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15
Q

Sin(a) - Sin(b) =

A

2sin((a-b)/2)cos((a+b)/2)

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16
Q

Cos(a) + Cos(b) =

A

2cos((a+b)/2)cos((a-b)/2)

17
Q

Cos(a) - Cos(b) =

A

-2sin((a+b)/2)sin((a-b)/2)

18
Q

1/cos^2(a) =

A

1+tan^2(a)

19
Q

Tan(a+b) =

A

(tan a + tan b)/(1-tan(a)tan(b))

20
Q

Tan(a-b) =

A

(tan a - tan b)/(1+tan(a)tan(b))