Fonctions trigo Flashcards

1
Q

cos(0)

A

1

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2
Q

sin(0)

A

0

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3
Q

tan(0)

A

0

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4
Q

cos(π/6)

A

sqrt(3)/2

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5
Q

sin(π/6)

A

1/2

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6
Q

tan(π/6)

A

1/sqrt(3)

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7
Q

cos(π/4)

A

sqrt(2)/2

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8
Q

sin(π/4)

A

sqrt(2)/2

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9
Q

tan(π/4)

A

1

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10
Q

cos(π/3)

A

1/2

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11
Q

sin(π/3)

A

sqrt(3)/2

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12
Q

tan(π/3)

A

sqrt(3)

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13
Q

cos(π/2)

A

0

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14
Q

sin(π/2)

A

1

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15
Q

tan(π/2)

A

Pas possible

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16
Q

sin(2π+x)

A

sin(x)

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17
Q

sin(π+x)

A

-sin(x)

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18
Q

sin(π-x)

A

sin(x)

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19
Q

sin((π/2)+x)

A

cos(x)

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20
Q

sin((π/2)-x)

A

cos(x)

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21
Q

sin(-x)

A

-sin(x)

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22
Q

cos(2π+x)

23
Q

cos(π+x)

24
Q

cos(π-x)

25
Q

cos((π/2)+x)

26
Q

cos((π/2)-x)

27
Q

cos(-x)

28
Q

tan(2π+x)

29
Q

tan(π+x)

30
Q

tan(π-x)

31
Q

tan((π/2)+x)

32
Q

tan((π/2)-x)

33
Q

tan(-x)

34
Q

tan(a)

A

sin(x)/cos(x)

35
Q

tan(2a)

A

2tan(a)/(1-tan²(a))

36
Q

tan(a+b)

A

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

37
Q

tan²(a)+1

A

1/cos²(a)

38
Q

cos²(a)+sin²(a)

39
Q

sin(a+b)

A

sin(a)cos(b)+cos(a)sin(b)

40
Q

sin(a-b)

A

sin(a)cos(b)-cos(a)sin(b)

41
Q

cos(a+b)

A

cos(a)cos(b)-sin(a)sin(b)

42
Q

cos(a-b)

A

cos(a)cos(b)+sin(a)sin(b)

43
Q

sin(2a)

A

2sin(a)cos(a)

44
Q

cos(2a)

A

cos²(a)-sin²(a) = 2cos²(a)-1 = 1-2sin²(a)

45
Q

sin(a)sin(b)

A

1/2(cos(a-b)-cos(a+b))

46
Q

cos(a)cos(b)

A

1/2(cos(a+b)+cos(a-b))

47
Q

sin(a)cos(b)

A

1/2(sin(a+b)+sin(a-b))

48
Q

cos²(a)

A

(1+cos(2a))/2

49
Q

sin²(a)

A

(1-cos(2a))/2

50
Q

sin(a)cos(a)

51
Q

sin(a)+sin(b)

A

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

52
Q

cos(a)+cos(b)

A

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

53
Q

sin(a)-sin(b)

A

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

54
Q

cos(a)-cos(b)

A

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