Trigonometrymedium · Past Paper
Simplify: sin A / (1 + cos A) + (1 + cos A) / sin A
A2 sin A
B2 cos A
C2 cosec A
D2 sec A
✓ Correct Answer: C — 2 cosec A
[sin^2 A + (1+cos A)^2] / [sin A(1+cos A)] = [sin^2 + 1 + cos^2 + 2cos] / [sin(1+cos)] = [2 + 2cos] / [sin(1+cos)] = 2/sin A = 2 cosec A.
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