The Ferocity Master Tree

Hello, I would like to know how these masteries work, from what I understand Bounty Hunter gives you 1.5% increased damage from each unique champion I've slained for up to 7.5%. The Double-Edged Sword increases damage from all sources by 5% and taking aswell 2.5% damage from all sources. Battle Trance gives up to 5% increased damage when in combat vs enemy champs. What the playstyle that fits each of these masteries? If Double Edged-Sword increases damage from all sources does that mean that the two other masteries only increases Auto-Attacks damage? From what I know Damage is divided into 3 Types for champions, Physical, Magic and True Damage. So if I used Bounty Hunter and play as an ap assassin does my spells damaged increased ? How does Battle Trance work ? Does it increases 1% per second until 5% cap is reached or 1% by enemy champ? Thank you for replying!