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Let A = 2*tan⁻¹(2*sqrt(2) - 1) and B = 3*sin⁻¹(1/3) + sin⁻¹(3/5). Determine the correct relation between A and B.

1. A > B
2. A < B
3. A = B
4. Cannot be determined

Correct answer: A > B

Solution

Numerically estimate each inverse trigonometric term; comparing the totals shows that A exceeds B (this is the classic established inequality for these specific values).

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