Question

2sin(3x/2)cos(3x/2)-sin^2 3x=0 срочнооо

Answer 1

$2sin frac{3x}{2} cos frac{3x}{2} -sin ^{2} 3x=0$

$sin3x-sin ^{2} 3x=0$
$sin3x(1-sin3x)=0$
sin3x = 0
1 - sin3x = 0

sin3x = 0
sin3x = 1

$3x= pi k,$ k∈Z
$3x = frac{ pi }{2}+2 pi k,$ k∈Z

$x= frac{ pi }{3}k,$ k∈Z
$x= frac{ pi }{6}+ frac{2 pi }{3} k,$ k∈Z