Question

rezolvati ecuatia omogena: -3sin^2 x-2sinx cosx+cos^2 x=0

Answer 1

Impartim ecuatia la cos^2 x, notam tg x =t si avem:

$-3t^2-2t+1=0$  cu solutiile:

$t_1=-1;\ t_2=\dfrac13$

$tg x=-1\Rightarrow x_k=-\dfrac{\pi}{4}+k\pi;\ k\in Z$

$tgx= \dfrac13\Rightarrow x_k=arctg\dfrac13+k\pi; k\in Z$