Question

sin 6x * cos 6x = -1/2

Answer 1

$sin6xcos 6x = -frac{1}{2}|*2\2sin6xcos6x=-1\sin(2*6x)=-1\sin12x=-1\12x=-frac{pi}{2}+2 pi n\x=-frac{pi}{24}+frac{pi n}{6}, ; nin Z.$