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If sin(A + B) = 1 and cos(A − B) = √3/2 for acute angles, find A and B.

AA = 75°, B = 15°
BA = 50°, B = 40°
CA = 60°, B = 30°
DA = 45°, B = 45°
Answer & Solution
Correct answer: C. A = 60°, B = 30°
A + B = 90° and A − B = 30°, which gives A = 60° and B = 30°.
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