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M1, le point image de π6, M2, le point image de 4π, M3, le point image de−7π3 etM4, le point image de 3π4

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2nd 6 Interrogation 15A : Correction 21 mai 2016 J

O

M1;M5

I;M2 M4

M6

M4;M7 M8

Exercice 1 :

Sur le cercle trigonom´etrique ci-contre, placer les points :

1. M1, le point image de π6, M2, le point image de 4π, M3, le point image de−7π3 etM4, le point image de 3π4 .

2. M5

√

3 2 ,12

,M6

−12,−

√3 2

,M7

−

√2 2 ,

√2 2

et M8

√

2 2 ,

√2 2

Exercice 2 :

En utilisant le cercle trigonom´etrique ci-contre, r´esoudre les ´equations : 1. cos(x) =−12 sur [−π;π]

2. 2 sin(x) =√

2 sur [0; 2π]

Solution:

1. S=2π

3 ;−2π3 2. 2 sin(x) =√

2⇔sin(x) =

√2

2 . S=π 4;3π4

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