Formules Flashcards

1
Q

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

A

1

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2
Q

Sin 0 = ?

A

0

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3
Q

Sin pi/6 = ?

A

1/2

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4
Q

Sin pi/3 =?

A

Racine de 3 sur 2

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5
Q

Sin pi/2 =?

A

1

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6
Q

Sin 2pi/3 =?

A

Racine de 3 sur 2

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7
Q

Sin pi/4

A

Racine de 2 sur 2

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8
Q

Cos 0 =?

A

1

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9
Q

Cos pi/6 =?

A

Racine de 3 sur 2

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10
Q

Cos pi/4 =?

A

Racine de 2 sur 2

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11
Q

Cos pi /3 =?

A

1/2

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12
Q

Cos (-x) =?

A

Cos(x)
Cos est une fonction paire de IR
Sa courbe est symétrique par rapport à l’axe des ordonnées

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13
Q

Sin(-x) =?

A

-Sin(x)
Sin est impaire
Symétrique par rapport au centre du repère

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14
Q

Sin (pi + x) = ?

A

-Sin (x)

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15
Q

Sin( pi-x ) =?

A

Sin(x)

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16
Q

Sin (pi/2 + x) =?

A

cos(x)

17
Q

Sin (pi/2 - x) =?

A

Cos (x)

18
Q

Cos ( pi+ x) = ?

A

-cos(x)

19
Q

Cos (pi-x) =?

A

-cos(x)

20
Q

Cos( pi/2 + x) =?

A

-Sin (x)

21
Q

Cos(pi/2 -x) =?

A

Sin (x)

22
Q

Cos(a+b) =?
Cos (a-b) =?
Sin(a+b ) =?
Sin(a-b) =?

A

cosacosb - sinasinb
Cosacosb+ sinasinb
Sinacosb + sinbcosa
Sinacosb - sinbcosa

23
Q

Cosp+ cosq

A

2cos(p+q)/2))cos(p−q )/2)

24
Q

cosp−cosq =?

A

−2sinp+qsinp−q

Chacun sur 2

25
Q

sinp+sinq =?

A

2sinp+qcosp−q

Chacun sur 2

26
Q

sinp−sinq =?

A

2cosp+qsinp−q

Chacun sur 2

27
Q

cos (2x) = ?

Sin(2x) =?

A

cos (2x) = cos2(x) − sin2(x) = 2 cos2(x) − 1 = 1 − 2 sin2(x) sin (2x)

= 2 sin(x) cos(x)

28
Q

Cos2(x) =

Sin2(x) =

A

= (1+ cos(2x)/2)

=(1-cos(2x)/2)

29
Q

cosx=cosθ⇔x=θ+2kπ ou x=−θ+2kπ sinx=sinθ⇔x=θ+2kπ ou x=π−θ+2kπ

tan x = tan θ ⇔ x = θ + kπ

A

C’est à savoir !!!

30
Q

Degré de saturation d’une molécule

A

D = (2*(nombre carbone) + 2 - nombre de Hydrogène)/2

Un culé compte pour une instauration