Question

3sin2x + cos2x + 1 = 0

Answer 1

Ответ

3sin2x+cos2x+1=0

3sin2x+2cosx^2 - 1+1=0

3*2sinxcosx+2cosx^2 =0

6sinxcosx+2cosx^2 =0

2cosx*(3sinx+cosx)=0

cosx*(3sinx+cosx)=0

cosx=0

3sinx+cosx=0

x=$\left \{ {{\frac{\pi }{2} +k\pi } \atop -arctan\frac{1}{3}+k\pi }} \right.$