Basic Info Functions: Sin, Cos, Tan + Arc Flashcards
1
Q
domaine de sin (choisi par convention)
A
[-π/2, π/2]
2
Q
Image de sin
A
[-1, 1]
3
Q
Domaine arcsin
A
[-1, 1]
4
Q
Image d’arcsin
A
[-π/2, π/2]
5
Q
arcsin(-x) = ?
A
-arcsin(x)
6
Q
arcsin(sin(θ)) = ?
A
θ si θ appartient à [-π/2, π/2]
7
Q
sin(α) = ?
A
sin(θ) si α appartient à [-π/2, π/2]
8
Q
domaine de tan (choisi par convention)
A
(-π/2, π/2)
9
Q
image de tan
A
IR ou (-INF, INF)
10
Q
domaine d’arctan
A
IR ou (-INF, INF)
11
Q
image d’arctan
A
(-π/2, π/2)
12
Q
arctan(-x) = ?
A
-arctan(x)
13
Q
arctan(tan θ)
A
θ si θ appartient à (-π/2, π/2)
14
Q
domaine cos (choisi par convention)
A
[0, π]
15
Q
image cos
A
[-1, 1]
16
Q
domain arcos
A
[-1, 1]
17
Q
image arcos
A
[0, π]
18
Q
arccos(cos(x)) = ?
A
θ si θ appartient à [0, π] et si cos(θ) = x
19
Q
arcos(-x)
A
π- arcos(x)
20
Q
Domain of sin (general, not chosen by convention)
A
IR
21
Q
Domain of tan (general)
A
IR except for asymptotes
22
Q
Domain of cos (general)
A
IR
