Fonctions trigonométriques Flashcards

1
Q

(cos x)’ = …

A

-sin x

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2
Q

(sin x)’ =

A

cos x

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3
Q

(cos u)’ = …

A

-u’sin(u)

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4
Q

(sin u)’ = …

A

u’cos u

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5
Q

lim (cos (x)-1)/x =…

x→0

A

0

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6
Q
lim sin (x)/x = ...
x→0
A

1

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7
Q

cos x ≤ a sur [-π; π]

S = …

A

[-π ; -x]U[x ; π]

avec cos x = a

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8
Q

cos x ≥ a sur [-π ; π]

alors S = …

A

[-x ; x]

avec cos x = a

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9
Q

sin x ≤ a sur [-π ; π]

alors S = …

A

[-π ; x]U[π-x ; π]

avec sin x = a

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10
Q

sin x ≥ a sur [-π ; π]

alors S = …

A

[x ; π-x]

avec sin x = a

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11
Q

cos (π/2 - x) = …

A

sin x

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12
Q

sin (π/2 - x) = …

A

cos x

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13
Q

cos (π/2 + x) = …

A

-sin x

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14
Q

sin (π/2 +x) = …

A

cos x

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15
Q

sin π/6 =

A

1/2

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16
Q

sin π/4 = …

A

√2/2

17
Q

sin π/3 = …

A

√3/2

18
Q

sin π/2 = …

A

1

19
Q

sin π = …

A

0

20
Q

cos π/6 = …

A

√3/2

21
Q

cos π/4 = …

A

√2/2

22
Q

cos π/3 = …

A

1/2

23
Q

cos π/2 = …

A

0

24
Q

cos π = …

A

-1

25
Q

sin 0 = …

A

0

26
Q

cos 0 = …

A

1

27
Q

sin x = 1/2

x = …

A

π/6 et 5π/6

28
Q

sin x = √2/2

x = …

A

π/4 et 3π/4

29
Q

sin x = √3/2

x = …

A

π/3 et 2π/3

30
Q

cos x = 1/2

x = …

A

-π/3 et π/3

31
Q

cos x = √2/2

x = …

A

-π/4 et π/4

32
Q

cos x = √3/2

x = …

A

-π/6 et π/6