Trigonometryhard · Past Paper
Simplify: (sin θ / (1 + cos θ)) + ((1 + cos θ) / sin θ)
A2 sin θ
B2 cos θ
C2 cosec θ
D2 sec θ
✓ Correct Answer: C — 2 cosec θ
Combine fractions: (sin² + 1 + 2cos + cos²)/(sin(1+cos)) = (2 + 2cos)/(sin(1+cos)) = 2/sin = 2 cosec θ.
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