How did Japan accommodate the United States' recognition of Japan's claims on Korea?

Question

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Japan agreed to recognize the United States' interests in the Philippines in exchange for the U.S. recognizing Japan's claims on Korea, as part of the negotiations leading to the signing of the Taft-Katsura Agreement in 1905. This was a demonstration of diplomatic give-and-take to maintain balance in their respective spheres of influence in Asia.

How Did Japan Accommodate the United States' Recognition of Japan's