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When Amaterasu first meets him he is crying over Take who has gone missing. When Princess Fuse tasks Amaterasu with locating her missing Canine Warriors, Amaterasu can find Take sleeping in a bamboo stalk in the grove. Power Slashing the bamboo to reveal Take will cause Tai to come and rejoice over his found dog. However, Take will reveal himself to be a member of the Canine Warriors and will fight Amaterasu to test her worth. This will anger Tai as he believes it was Amaterasu who frightened away Take. After the battle, Take will relinquish his Satomi Power Orb and stay with Tai as he believes Tai needs protection from the demons and it is his duty to do so.
Spoilers end here.
↑ 1.01.11.2"Crybaby Tai: Jamba's son, he was spoiled by his older sister Chun as a hatchling, and is therefore quite immature. The Sparrow Clan's underlings are often worried about Tai's childish ways."—Image Scroll of Those from the Road, p.39 (Ōkami Official Complete Works)