trigonométrie Flashcards
1
Q
sin(-θ)
A
-sin(θ)
2
Q
cos(-θ)
A
cos(θ)
3
Q
tan(-θ)
A
-tan(θ)
4
Q
sin(θ+pi)
A
-sin(θ)
5
Q
cos(θ+pi)
A
-cos(θ)
6
Q
tan(θ+pi)
A
tan(θ)
7
Q
sin(pi-θ)
A
sin(θ)
8
Q
cos(pi-θ)
A
-cos(θ)
9
Q
tan(pi-θ)
A
-tan(θ)
10
Q
sin(θ+pi/2)
A
cos(θ)
11
Q
cos(θ+pi/2)
A
-sin(θ)
12
Q
tan(θ+pi/2)
A
-cotan(θ)
13
Q
sin(pi/2-θ)
A
cos(θ)
14
Q
cos(pi/2-θ)
A
sin(θ)
15
Q
tan(pi/2-θ)
A
cotan(θ)
16
Q
cos(a+b)
A
cos(a)cos(b)-sin(a)sin(b)
17
Q
cos(a-b)
A
cos(a)cos(b)+sin(a)sin(b)
18
Q
sin(a+b)
A
sin(a)cos(b)+sin(b)cos(a)
19
Q
sin(a-b)
A
sin(a)cos(b)-sin(b)cos(a)
20
Q
tan(a+b)
A
(tan(a)+tan(b))/(1-tan(a)tan(b))
21
Q
tan(a-b)
A
(tan(a)-tan(b))/(1+tan(a)tan(b))
22
Q
cos(2a)
A
cos2(a)-sin2(a)=2cos2(a)-1=1-2sin2(a)
23
Q
sin(2a)
A
2sin(a)cos(a)
24
Q
cos2(a)
A
1/2(1+cos(2a))
25
sin2(a)
1/2(1-cos(2a))
26
cos(a)cos(b)
1/2(cos(a+b)+cos(a-b))
27
sin(a)sin(b)
1/2(cos(a-b)-cos(a+b))
28
sin(a)cos(b)
1/2(sin(a+b)+sin(a-b))
29
cos(p)+cos(q)
2cos(p+q/2)cos(p-q/2)
30
cos(p)-cos(q)
-2sin(p+q/2)sin(p-q/2)
31
sin(p)+sin(q)
2sin(p+q/2)cos(p-q/2)
32
sin(p)-sin(q)
2cos(p+q/2)sin(p-q)/2
33
sin(θ), en fonction de t = tan(θ/2)
(2t)/(1+t^2)
34
cos(θ), en fonction de t = tan(θ/2)
(1-t^2)/(1+t^2)
35
tan(θ), en fonction de t = tan(θ/2)
(2t)/(1-t^2)
36
solutions de sin(x)=sin(θ) pour x
θ+2kpi ou pi-θ+2kpi
37
solutions de cos(x)=cos(θ) pour x
θ+2kpi ou -θ+2kpi
38
solutions de tan(x)=tan(θ) pour x
θ+kpi
