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Given sin A = 3/5 and cos B = 9/41 with A and B both in (0, pi/2), find sin(A + B).

1. 187/205
2. 133/205
3. 156/205
4. 171/205

Correct answer: 187/205

Solution

Both angles are acute so all functions are positive; applying the addition formula gives sin(A + B) = 187/205.

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