Formulaire de Trigonométrie Flashcards
(51 cards)
1
Q
cos(0)
A
1
2
Q
cos(π/6)
A
√(3)/2
3
Q
cos(π/4)
A
√(2)/2
4
Q
cos(π/3)
A
1/2
5
Q
cos(π/2)
A
0
6
Q
cos(2π/3)
A
-1/2
7
Q
cos(π)
A
-1
8
Q
cos(3π/2)
A
0
9
Q
cos(2π)
A
1
10
Q
sin(0)
A
0
11
Q
sin(π/6)
A
1/2
12
Q
sin(π/4)
A
√(2)/2
13
Q
sin(π/3)
A
√(3)/2
14
Q
sin(π/2)
A
1
15
Q
tan(0)
A
0
16
Q
tan(π/6)
A
1/√(3)
17
Q
tan(π/4)
A
1
18
Q
tan(π/3)
A
√(3)
19
Q
tan(π/2)
A
+∞
20
Q
cos(θ + π/2)=
A
−sinθ
21
Q
sin(θ + π/2)=
A
cosθ
22
Q
cos(π/2 −θ)=
A
sinθ
23
Q
sin(π/2 −θ)=
A
cosθ
24
Q
cos(π−θ) =
A
−cosθ
25
sin(π−θ) =
sinθ
26
cos(θ + π) =
−cosθ
27
sin(θ + π) =
−sinθ
28
cos(−θ) =
cosθ
29
sin(−θ) =
−sinθ
30
cos2 x + sin2 x =
1
31
1 + tan² x =
1 / cos² x
32
cos(a−b) =
cosacosb + sinasinb
33
cos(a + b) =
cosacosb−sinasinb
34
sin(a−b) =
sinacosb−cosasinb
35
sin(a + b) =
sinacosb + cosasinb
36
cos(2a) =
2cos²(a)−1 = cos²(a)−sin²(a) = 1−2sin²(a)
37
sin(2a) =
2sinacosa
38
cos²(x) =
(1 + cos(2x))/2
39
sin2 x =
sin²(x) =(1−cos(2x))/2
40
cos(u)=cos(v)
⟺(u=v [2π] ou u=-v [2π])
41
sin(u)=sin(v)
⟺(u=v [2π] ou u=π-v [2π])
42
tan(u)=tan(v)
⟺(u=v [π])
43
cosp + cosq =
2cos((p + q) /2 ) cos((p−q)/2)
44
cosp−cosq =
−2sin((p + q)/2) sin((p−q)/2)
45
sinp + sinq =
2sin((p + q)/2) cos((p−q)/2 )
46
sinp−sinq =
2sin((p−q)/2) cos((p + q)/2 )
47
cosacosb =
1/2[cos(a + b) + cos(a−b)]
48
sinasinb =
1 /2[cos(a−b)−cos(a + b)]
49
sinacosb =
1/2[sin(a + b) + sin(a−b)]
50
tan((π/2)-x)=
cotan(x)
51
tan((π/4)+h)=
cotan((π/4)-h)
