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Cum se rezolva corect? Rog sa ma corectati
(sinx+sqrt(3)cosx-1)/cosx=0<=>sinx+sqrt(3)cosx-1=0<=>2tg(x/2)+sqrt(3)(1-tgx*tgx)-(1+tg(x/2)*tg(x/2))=0
2t+sqrt(3)(1-t^2)-(1+t^2)=0,t^2(-sqrt(3)-1)+2t+sqrt(3)-1=0,t=1sat t=((sqrt(3)-2)),
tg(x/2)=1,
Mc
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[Citat]
Cum se rezolva corect? Rog sa ma corectati
(sinx+sqrt(3)cosx-1)/cosx=0<=>sinx+sqrt(3)cosx-1=0<=>2tg(x/2)+sqrt(3)(1-tgx*tgx)-(1+tg(x/2)*tg(x/2))=0
2t+sqrt(3)(1-t^2)-(1+t^2)=0,t^2(-sqrt(3)-1)+2t+sqrt(3)-1=0,t=1sat t=((sqrt(3)-2)),
tg(x/2)=1,
Mc |
Trebuie pusa conditia
.
E mai rapida rezolvarea cu inlocuirea lui
cu
care conduce la ecuatia
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C.Telteu
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