L.H.S.
=cos 12+cos 60+cos 84
=cos 12+(cos 84+cos 60)
=cos 12+2.cos 72 . cos 12
=(1+2sin 18)cos 12
=(1+2.(√5 -1)/4)cos 12
=(1+.(√5 -1)/2)cos 12
=(√5 +1)/2.cos 12
R.H.S
=cos 48+cos 24
=2cos 36. cos 12
=2.(√5 + 1)/4)cos 12
=(√5 +1)/2.cos 12
L.H.S = R.H.S