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Equazioni e disequazioni goniometriche

Equazioni e disequazioni goniometriche

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Esercizi.<br />

1. senx>2;<br />

2. cosx>-2;<br />

3. tanx>-1;<br />

4. 2senx-1 0;<br />

7. 2 cos(<br />

3x<br />

) < 3;<br />

8.<br />

x<br />

2 sen + 1 > 0;<br />

2<br />

9.<br />

⎛ π ⎞<br />

tan ⎜ x + ⎟ ><br />

⎝ 4 ⎠<br />

3;<br />

10.<br />

2<br />

2cos<br />

x < 1;<br />

11.<br />

2<br />

2sen<br />

x − senx ≥ 0;<br />

12.<br />

senx<br />

≤ 0;<br />

cos x + 1<br />

13.<br />

2<br />

2cos<br />

x + 3cos<br />

x + 1 < 0;<br />

14. sen(2x)-cosx ;<br />

2<br />

17. tan 2 tan 3;<br />

2<br />

x + x <<br />

18. sen2x+cos2x 0;<br />

2<br />

20. 2<br />

2<br />

3 cos x − sen2x<br />

< 3;<br />

21. 3senx + cos x ≥ 1;<br />

2 x<br />

22. sen + cos x + 1 > 0;<br />

2<br />

2cos<br />

x − 3<br />

23. ≥ 0;<br />

senx<br />

24. cos x<br />

− 3senx<br />

< 0.<br />

8

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