Final answer:
After their costly victory at Bunker Hill, British forces under Major General Sir William Howe shifted tactics towards more complex maneuvers and sieges to outmaneuver American forces, as evidenced in the battle at Brooklyn Heights. These tactics were part of a strategic shift away from the devastating direct assaults seen at Bunker Hill.
Step-by-step explanation:
After the Battle of Bunker Hill, where the British won a costly victory, Major General Sir William Howe was given command of the British forces. Despite the heavy British losses, including 226 killed and over 800 wounded, Howe later implemented a strategy in subsequent battles which involved using large numbers of British troops to carry out separate but coordinated attacks to outmaneuver the Americans. These tactics showed Howe's preference for complex maneuvers over direct assaults, which contrasted with his earlier costly frontal attacks at Bunker Hill.
It's important to note that while the British technically secured a victory at Bunker Hill, the battle proved to the Americans that they could stand up against one of the best-trained armies, bolstering their confidence. However, General Gage's confidence waned following the heavy losses, which led to his replacement by Howe. Later, Howe's strategies demonstrated British adaptability and a focus on siege and flanking maneuvers rather than frontal assaults, which served to isolate the Continental forces and obtain British military objectives without incurring the excessive casualties experienced at Bunker Hill.