Question

sin(x-pi/3)cos(7x+pi/6)=0

Answer 1

$sin(x-frac{pi}{3})cos(7x+frac{pi}{6})=0\\sin(x-frac{pi}{3})=0\x-frac{pi}{3}=pi n\x=frac{pi}{3}+pi n,;nin Z;\\cos(7x+frac{pi}{6})=0\7x+frac{pi}{6}=frac{pi}{2}+pi k\7x=frac{pi}{3}+pi k\x=frac{pi}{21}+frac{pi k}{7}, ; kin Z.$