Forum:Timing for Tyrant Dragon

Straight from the card, Tyrant Dragon: 'During your Battle Phase, if your opponent controls a monster after this card's first attack, this card can attack once again. Negate the effect of any Trap Card that targets this card, and destroy that Trap Card.' Can I only negate trap cards that target the card during the battle phase, or is the effect constant, regardless of the fact that the first effect is only active during the Battle Phase?