Trigonometric Identities, Make Left side equal the right side

tan(30) + 1÷tan(30) = 1÷sin(30)cos(30)

Prove : tan(30) + 1÷tan(30) = 1÷sin(30)cos(30)

L.H.S. = tan(30) +1/tan(30) = [tan^2(30) + 1] / tan(30)

L.H.S. = sec^2(30) / tan(30) = 1/[cos^2(30)*sin(30)/cos(30)]

L.H.S. = 1 / sin(30*cos(30) = R.H.S. >==================< Q . E . D .