Cook is famous for charting lands previously unknown to the British, including New Zealand
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It pays to do a little research...
Cook did his charting in the late 1700s...
NZ was already well known,,,
Abel Tasman chartered the islands in the 1400s...
He joined the North Island and the South Island and made Banks Peninsular (Lyttleton/Akaroa) into an island but the overall shorelines are correct...
Every NZ school child recognized the Tasman map when we were children...
It was in the flyleaf of our school atlas...
https://en.wikipedia.org/wiki/Abel_Tasman
Abel Janszoon Tasman ... 1603 – 10 October 1659) was a Dutch seafarer and explorer, best known for his voyages of 1642 and 1644 in the service of the Dutch East India Company (VOC).