#sin 2x sin x - cos 2x cos x =-cos x#
# =>cos 2x cos x-sin 2x sin x =cos x#
# =>cos (2x + x) =cos x#
# =>cos (3x) =cos x#
#=>3x=2npipmx" where "n in ZZ#
So
when
#=>3x=2npi+x" where "n in ZZ#
#=>2x=2npi" where "n in ZZ#
#=>x=npi" where "n in ZZ#
Again when
#=>3x=2npi-x" where "n in ZZ#
#=>4x=2npi" where "n in ZZ#
#=>x=(npi)/2" where "n in ZZ#