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Rationalising sin A/(1+cos A), for acute A, gives which equivalent fraction?

A(1−sin A)/cos A
B(1−cos A)/sin A
C(1+sin A)/cos A
D(1+cos A)/sin A
Answer & Solution
Correct answer: B. (1−cos A)/sin A
Multiplying by 1 − cos A uses 1 − cos²A = sin²A to give (1 − cos A)/sin A.
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