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Corrigés 1 - inéquation trigonométrique - TS2

Dans $]-\pi\ ;\ \pi]$

1. $x\in\left\lbrace -\dfrac{3\pi}{4}\;,-\dfrac{5\pi}{12}\;,\dfrac{\pi}{4}\;,\dfrac{7\pi}{12}\right\rbrace$

2. $x\in\left\lbrace -\dfrac{2\pi}{3}\;,-\dfrac{\pi}{2}\;,0\;,\dfrac{\pi}{6}\;,\dfrac{2\pi}{3}\;,\dfrac{5\pi}{6}\right\rbrace$

3. $x\in\left\lbrace 0\;,\dfrac{\pi}{2}\right\rbrace$

4. $x\in\left\lbrace -\dfrac{\pi}{2}\;,-\dfrac{\pi}{4}\;,\dfrac{\pi}{2}\;,\dfrac{3\pi}{4}\right\rbrace$

5. $x\in\left\lbrace -\dfrac{\pi}{2}\;,0\;,\dfrac{\pi}{2}\right\rbrace$

6. $x\in\left\lbrace -\dfrac{23\pi}{36}\;,-\dfrac{11\pi}{36}\;,\dfrac{\pi}{36}\;,\dfrac{13\pi}{36}\;,\dfrac{25\pi}{36}\right\rbrace$

7. $x\in\left\lbrace -\dfrac{17\pi}{24}\;,-\dfrac{25\pi}{48}\;,-\dfrac{\pi}{48}\;,\dfrac{7\pi}{24}\;,\dfrac{23\pi}{48}\;,\dfrac{47\pi}{48}\right\rbrace$

8. $x\in \left\lbrace -\dfrac{37\pi}{60}\;,-\dfrac{13\pi}{60}\;,\dfrac{11\pi}{60}\;,\dfrac{5\pi}{12}\;,\dfrac{7\pi}{12}\;,\dfrac{59\pi}{60}\right\rbrace$

9. $x\in\left\lbrace -\dfrac{19\pi}{24}\;,-\dfrac{3\pi}{4}\;,-\dfrac{7\pi}{24}\;,\dfrac{5\pi}{24}\;,\dfrac{\pi}{4}\;,\dfrac{17\pi}{24}\right\rbrace$

10. $x\in \left\lbrace -\dfrac{59\pi}{72}\;,-\dfrac{35\pi}{72}\;,-\dfrac{17\pi}{24}\;,-\dfrac{11\pi}{72}\;,\dfrac{13\pi}{72}\;,\dfrac{37\pi}{72}\;,\dfrac{61\pi}{72}\right\rbrace$

11. $x\in\left\lbrace -\dfrac{\pi}{2}\;,\dfrac{\pi}{2}\right\rbrace$

12. $x\in \left\lbrace -\dfrac{5\pi}{12}\;,\dfrac{7\pi}{12}\right\rbrace$

 

 

 

 

 

 

 

 

 

 

 

 

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