Question: Annenkov Island was discovered by a British explorer who made how many voyages to the Pacific Ocean?

Context paragraphs:
Louis Antoine de Bougainville: Louis-Antoine, Comte de Bougainville (12 November 1729 – 31 August 1811) was a French admiral and explorer.  A contemporary of the British explorer James Cook, he took part in the Seven Years' War in North America and the American Revolutionary War against Britain.  Bougainville later gained fame for his expeditions, including circumnavigation of the globe in a scientific expedition, the first recorded settlement on the Falkland Islands, and voyages into the Pacific Ocean.  Bougainville Island of Papua New Guinea was named for him.

James Cook: Captain James Cook (7 November 172814 February 1779) was a British explorer, navigator, cartographer, and captain in the Royal Navy.  Cook made detailed maps of Newfoundland prior to making three voyages to the Pacific Ocean, during which he achieved the first recorded European contact with the eastern coastline of Australia and the Hawaiian Islands, and the first recorded circumnavigation of New Zealand.

Mislaid Rock: Mislaid Rock ( ) is a rock lying southwest of First Point, Annenkov Island, off the south coast of South Georgia.  The name appears to be first used on a 1931 British Admiralty chart.

Rustad Bay: Rustad Bay ( ) is a small bay indenting the southwest side of Annenkov Island, off the south coast of South Georgia.  Surveyed by the SGS in the period 1951-57, and named by the United Kingdom Antarctic Place-Names Committee (UK-APC) for Ditlef Rustad, biologist of the Norwegian expedition under Horntvedt, 1927–28, during which he visited and made collections on Annenkov Island.

List of ships of James Cook: Captain James Cook, FRS, RN (7 November 1728[NB 1] – 14 February 1779) was a British explorer, navigator, cartographer, and captain in the Royal Navy.  Cook made detailed maps of Newfoundland prior to making three voyages to the Pacific Ocean, during which he achieved the first recorded European discovey of eastern Australia, Hawaii and undertook the first circumnavigation of New Zealand.

Tussock Island: Tussock Island ( ) is an island 0.2 nautical miles (0.4 km) long, lying off the west side of Annenkov Island, South Georgia.  Following geological work by British Antarctic Survey (BAS), 1972–73, it was named after the thick mantle of tussock grass (Poa flabellata) that grows on the island.

South West Point: South West Point ( ) is the southwest point of Annenkov Island, off the south-central coast of South Georgia.  Annenkov Island was discovered by Captain James Cook in 1775, and resighted by Admiral Thaddeus Bellingshausen in 1819.  The point appears to be first named on a chart based upon DI surveys undertaken in the period 1926-30.

Cape Byron: Cape Byron is the easternmost point of the mainland of Australia.  It is located about 3 km east of the town of Byron Bay and projects into the Pacific Ocean.  The cape was named by British explorer Captain James Cook, when he passed the area on 15 May 1770, to honour British explorer John Byron who circumnavigated the globe in HMS "Dolphin" from 1764 to 1766.  The Cape is part of the Cape Byron State Conservation Area.

Pettigrew Scarp: Pettigrew Scarp is an escarpment nearly 0.5 nautical miles (0.9 km) long in the south part of Annenkov Island, South Georgia.  It is terminated to the southwest by a ridge, and to the northeast by three rock pinnacles.  Named by the United Kingdom Antarctic Place-Names Committee (UK-APC) for Timothy H. Pettigrew, British Antarctic Survey (BAS) geologist who worked on the island, 1972-73.

Lawther Knoll: Lawther Knoll ( ) is a rounded, scree-covered hill rising to 315 m in eastern Annenkov Island, South Georgia.  It was named by the UK Antarctic Place-Names Committee for British Antarctic Survey geologist Eric G. Lawther who worked on the island in the summer of 1972–73.

Supporting paragraphs: South West Point James Cook
Answer: three