Basic Info Functions: Sin, Cos, Tan + Arc Flashcards

1
Q

domaine de sin (choisi par convention)

A

[-π/2, π/2]

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2
Q

Image de sin

A

[-1, 1]

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3
Q

Domaine arcsin

A

[-1, 1]

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4
Q

Image d’arcsin

A

[-π/2, π/2]

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5
Q

arcsin(-x) = ?

A

-arcsin(x)

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6
Q

arcsin(sin(θ)) = ?

A

θ si θ appartient à [-π/2, π/2]

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7
Q

sin(α) = ?

A

sin(θ) si α appartient à [-π/2, π/2]

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8
Q

domaine de tan (choisi par convention)

A

(-π/2, π/2)

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9
Q

image de tan

A

IR ou (-INF, INF)

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10
Q

domaine d’arctan

A

IR ou (-INF, INF)

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11
Q

image d’arctan

A

(-π/2, π/2)

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12
Q

arctan(-x) = ?

A

-arctan(x)

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13
Q

arctan(tan θ)

A

θ si θ appartient à (-π/2, π/2)

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14
Q

domaine cos (choisi par convention)

A

[0, π]

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15
Q

image cos

A

[-1, 1]

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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