Trigo Flashcards

1
Q

cos (−x)

type

A

cos (x)

angles opposés

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2
Q

sin (−x)

type

A

− sin (x)

angles opposés

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3
Q

cos (π − x)

type

A

− cos (x)

angles supplémentaires

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4
Q

sin (π − x)

type

A

sin (x)

angles supplémentaires

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5
Q

cos (π + x)

type

A

− cos (x)

angles qui diffèrent de pi

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6
Q

sin (π + x)

type

A

− sin (x)

angles qui diffèrement de pi

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7
Q

cos (π /2 − x)

type

A

sin (x)

angles complémentaires

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8
Q

sin (π/2 − x)

type

A

cos (x)

angles complémentaires

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9
Q

cos (π/2 + x)

type

A

− sin (x)

angles qui diffèrent de pi/2

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10
Q

sin (π/2 + x)

type

A

cos (x)

angles qui diffèrent de pi/2

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11
Q

cos (a + b)

A

cos a cos b − sin a sin b

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12
Q

sin (a + b)

A

sin a cos b + sin b cos a

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13
Q

cos (a − b)

A

cos a cos b + sin a sin b

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14
Q

sin (a − b)

A

sin a cos b − sin b cos a

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15
Q

cos 2a

A

cos^2 a − sin^2 a = 2cos^2 a − 1= 1 − 2sin^2 a

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16
Q

sin 2a

A

2sin a cos a

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17
Q

cos^2 a

A

(1 + cos 2a) / 2

18
Q

sin^2 a

A

(1− cos 2a) / 2

19
Q

dérivée de :

sin’ x

20
Q

dérivée de :

cos’ x

21
Q

dérivée de :

tan’ x

A

1/cos^2 x
1 + tan^2 x

22
Q

dérivée de :

sin u

A

u’ cos u

23
Q

dérivée de :

cos u

A

− u’ sin u

24
Q

dérivée de :

tan u

A

u’/ cos^2 u
u’(1 + tan^2 u)

25
# dérivée de : sin^n (x)
n sin^n-1 (x) × cos (x)
26
# dérivée de : cos^n (x)
− n cos^n-1 (x) × sin (x)
27
# dérivée de : tan^n (x)
n tan^n-1 (x) × (1 + tan^2 (x) )
28
# dérivée de : 1/cos (x)
− cos (x) / sin^2 (x)
29
# dérivée de : 1/sin (x)
sin (x) / cos^2 (x)
30
cos (a) × sin (b)
1/2 [ sin (a+b) + sin (a-b) ]
31
# équation trigo cos x = cos a
x = a [2π] x = - a [2π]
32
# équation trigo sin x = sin a
x = a [2π] x = π - a [2π]
33
# équation trigo tan x = tan a
x = a [π]
34
tan (a+b)
(tan a + tan b) / (1 - tan a tan b)
35
tan (a-b)
(tan a - tan b) / (1 + tan a tan b)
36
cos ^2 a/2
(1 + cos a) / 2
37
sin ^2 a/2
(1 - cos a) /2
38
tan 2a
2tan a / (1-tan^2 a)
39
# somme produit cos p + cos q
2 cos (p+q/2) cos (p-q/2)
40
# somme produit cos p - cos q
➖ 2 sin (p+q/2) sin (p-q/2)
41
sin p + sin q
2 sin (p+q/2) cos (p-q/2)
42
sin p - sin q
2 cos (p+q/2) sin (p-q/2)