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Forum Studenti •esercizio 4 disequazioni 9
Pagina 1 di 1

esercizio 4 disequazioni 9

Inviato: martedì 27 dicembre 2011, 13:15
da kyra84
buongiorno a tutti ho un dubbio riguardo lo svolgimento di questo esercizio :

2cosx+1
---------- < 1
2sinx-1

provo a svolgerlo.
analizzo prima i due fattori separatamente quindi ho
2cosx+1 <1 ; 2cosx < 0 ; cosx < 0 che è vera per x compreso tra (PI/2; 3PI/2)

ora analizzo il secondo fattore

2sinx -1 < 1 ; 2sinx < 2 ; sinx < 1 che è vera per x compreso tra (0, PI/2)U(PI/2; 3PI/2) U (3PI/2; 2PI);

faccio il disegnino dei piu e dei meno e mi risulta che la disequazione è < 1
per x compreso (0; PI/2) U (3PI/2; 2PI)
[ho preso le parti che presentano il meno nel disegno]

guardando le soluzioni però trovo : ]0;PI/6[ U ]PI/2 ; 5PI/6 [ U ]PI, 2PI[

potreste aiutarmi a capire dove sbaglio per favore?
grazie

Inviato: mercoledì 28 dicembre 2011, 9:29
da Massimo Gobbino
Suvvia, classica precorsata, perché non risponde nessuno?

Inviato: mercoledì 28 dicembre 2011, 19:23
da elena :)

Inviato: giovedì 29 dicembre 2011, 20:08
da kyra84