Naval tactics
The war demonstrated the importance of naval airborne early warning (AEW). Vital to British success was the protection of the two Royal Navy aircraft carriers, HMS Hermes and HMS Invincible. In 1982, the Royal Navy had effectively zero over-the-horizon radar capability, so to protect the British naval taskforce several destroyers and frigates were sent on radar picket duty to form the first line of defense against Argentine air attacks. As a result, the British lost the Type 42 destroyer HMS Sheffield to fire following an Argentine Exocet missile strike. Following the conflict, the Royal Navy modified some Westland Sea King helicopters for the AEW role. Other navies (including France, Spain and Italy) have since included AEW aircraft or helicopters on their carriers.
The conflict also led to an increased interest in the close defense capabilities of naval ships, including close-in weapon systems (CIWS) as a last-ditch defense against incoming missiles. The attack on the US frigate USS Stark on patrol in the Persian Gulf in 1987 also highlighted the danger of anti-ship missiles. In the case of Stark, the Iraqi Exocet missiles were not detected and Stark's CIWS was not turned on as the ship was not expecting an attack.
The Falklands War also saw the only time a warship has been sunk by a nuclear-powered submarine in a hostile attack, when the British nuclear-powered submarine HMS Conqueror attacked the Argentine cruiser ARA General Belgrano with torpedoes. With their nuclear propulsion plants, the submarines were able to remain on station virtually undetected.

Other conflicts: Another large naval operation conducted by a major power took place when the US Navy provided protection to Kuwaiti-owned tankers in the Persian Gulf between 1987 and 1988, during the Iran–Iraq War.
Naval forces have played a supporting role in some land battles. US battleships provided naval gunfire support during the Vietnam War and the 1991 Gulf War. During the Falklands War, British destroyers and frigates carried out shelling of Argentine positions.
The 1991 Croatian War and the subsequent War of Bosnia saw some naval action, initially when the Yugoslav Navy declared a blockade of the ports of Dalmatia from September to December 1991 and later in 1994-1995, when NATO naval forces, as part of Operation Sharp Guard, deployed a number of units to the Adriatic in order to enforce a United Nations arms embargo on former Yugoslavia. Later Operations on former Yugoslavia such as Deliberate Force and Allied Force involved the use of seaborne aircraft and the launch of Tomahawk cruise missiles against Serb targets. British and Australian warships provided gunfire support to the Al Faw operation during the 2003 invasion of Iraq. US and UK naval forces have used again Tomahawk cruise missiles against land targets in the course of actions undertaken since the end of the Cold War, such as the opening of international involvement in the Libyan Civil War, of which the British Armed Forces played a decisive role.
The USS Cole bombing, a suicide waterborne mission on a US Aegis destroyer in Yemen in October 2000, has resulted in an increased awareness of terrorist risks whilst warships are in harbor or near potentially hostile coastlines. The War on Terrorism has also seen increased awareness of the naval role against terrorism. The US-led invasion of Afghanistan reaffirmed the role of naval air power, and US carrier based aircraft provided most of the sorties over Afghanistan against Taliban and Al-Qaeda forces. Over 90% of munitions delivered by the US Navy in Operation Enduring Freedom were precision-guided munitions. Several nations contributed vessels and maritime patrol aircraft to deny Al-Qaeda access to the Arabian Sea and Indian Ocean, including the US, Australia, Britain, Canada, Germany, Netherlands and New Zealand amongst others. France and Italy also used their carrier based aircraft over Afghanistan. Special forces operated from US and British carriers, in particular, the USS Kitty Hawk. Aircraft traditionally used for maritime patrol such as the Nimrod and P-3 Orion were also used in the overland surveillance role over Afghanistan as well as during the 2003 invasion of Iraq.

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Further reading: Rodger, Nicholas, "Image and Reality in Eighteenth-Century Naval Tactics." Mariner's Mirror 89, No. 3 (2003), pp. 281–96.