Trigonométrie Flashcards
(29 cards)
1
Q
cos(-a)
A
cos(a)
2
Q
sin(-a)
A
-sin(a)
3
Q
tan(-a)
A
-tan(a)
4
Q
cos(a+PI)
A
-cos(a)
5
Q
sin(a+PI)
A
-sin(a)
6
Q
tan(a+PI)
A
tan(a)
7
Q
cos(PI-a)
A
-cos(a)
8
Q
sin(PI-a)
A
sin(a)
9
Q
cos(a+PI/2)
A
-sin(a)
10
Q
sin(a+PI/2)
A
cos(a)
11
Q
cos(PI/2-a)
A
sin(a)
12
Q
sin(PI/2-a)
A
cos(a)
13
Q
cos(a+b)
A
cos(a)cos(b)-sin(a)sin(b)
14
Q
cos(a-b)
A
cos(a)cos(b)+sin(a)sin(b)
15
Q
sin(a+b)
A
sin(a)cos(b)+sin(b)cos(a)
16
Q
sin(a-b)
A
sin(a)cos(b)-sin(b)cos(a)
17
Q
cos(2a)
A
cos2(a)-sin2(a)
2cos2(a)-1
1-2sin2(a)
18
Q
sin(2a)
A
2sin(a)cos(a)
19
Q
cos2(a)
A
(cos(2a)+1)/2
20
Q
sin2(a)
A
(1-cos(2a))/2
21
Q
cos(a)cos(b)
A
1/2(cos(a+b)+cos(a-b))
22
Q
sin(a)cos(b)
A
1/2(sin(a+b)+sin(a-b))
23
Q
sin(a)sin(b)
A
1/2(cos(a-b)-cos(a+b))
24
Q
cos(a)+cos(b)
A
2cos(a+b/2)cos(a-b/2)
25
cos(a)-cos(b)
-2sin(a+b/2)sin(a-b/2)
26
sin(a)+sin(b)
2sin(a+b/2)cos(a-b/2)
27
sin(a)-sin(b)
2cos(a+b/2)sin(a-b/2)
28
Formule d'Euler
cos(x)=(e^ix+e^-ix)/2
| sin(x)=(e^ix-e^-ix)/2
29
Formule de Moivre
(cos(a)+isin(a))^n=cos(na)+isin(na)
