Question

Решите уравнения 3sin^2x-cos^2x =0

Answer 1

$tt displaystyle 3sin^2 {x} -cos^2 {x} =0;\4sin^2 x -(sin^2 x +cos^2 x )=0;\4sin^2 x-1=0;|!+1;quad 4sin^2 x=1;|!:4;\sin^2 x =frac14 ;quad |sin{x} |=sqrt{frac14 } =frac12 ;\sin{x} =pm frac12$

Ответ: $tt displaystyle x=pm frac{pi }6 +pi k,kin mathbb{Z} .$