The engraving above, kept at the London National Maritime Museum, shows exactly the mooring of Cook's two ships, "HMS Resolution and the Discovery in Moorea" in Opunohu Bay in Robinson's Cove.
HMS Bounty also came to that cove to gather breadfruit trees to bring them to Jamaica, it ended up some time later with the most famous mutiny in history...
Captain James Cook
This is exactly where Captain James Cook moored for the first time in Moorea, on the 30th of September 1777 during his third voyage to the Pacific.
He did not come to Moorea during his preceding voyages, therefore Opunohu Bay should have been named Cook’s Bay instead of Pao Pao Bay, but history decided otherwise!.
Along with James Cook, where Charles Clerke, Georges Vancouver (who did not know yet his name would be given to another famous bay), and a certain William Bligh who was going to return to this very same bay as Captain of HMS Bounty...
Mutiny on the HMS Bounty
It is still in that same cove where about twelve years later the Bounty made a stop in Moorea to gather the breadfruit trees to bring them to Jamaica.
This expedition ended up some time later with the most famous mutiny in history and the rivalry between Fletcher Christian and Captain Bligh, who was forced to leave the ship with some of the crew in a long boat and succeeded in crossing the Pacific Ocean. As to the Mutineers, they ended up seeking refuge in the island of Pitcairn, where they burned down their ship so they wouldn't be found.
The most famous movie about this episode featured Marlon Brando, but the most faithful to history was certainly the 1984 "The Bounty" with Mel Gibson which was entirely shot in Robinson's Cove surroundings.