If sec A= cosec B and both A and B are acute angles, then the value of A+B is:
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Correct answer: D
Explanation
sec A = cosec B
1 / cos A = 1 / sin B
cos A = sin B
sin B = cos A = sin(90° − A)
B = 90° − A (since both A and B are acute angles)
A + B = A + (90° − A) = 90°