Question

решите уравнение 3sin^2 x + 10 sinx cosx + 3cos^2 x=0

Answer 1

3sin^2 x + 10 sinx cosx + 3cos^2 x=0
3+5sin(2x)=0
5sin(2x)=-3
sin(2x)=-3/5
2x= -(-1)^k*arcsin(3/5)+2πk kεΖ
x=(-1)^(k+1)*arcsin(3/5)/2+πk