Trigonometryhard · Past Paper

Simplify: √((1 - cos θ) / (1 + cos θ))

Acosec θ - cot θ
Bcosec θ + cot θ
Csec θ - tan θ
Dsec θ + tan θ

✓ Correct Answer: Acosec θ - cot θ

Rationalizing the denominator gives (1-cos θ)/sin θ = 1/sin - cos/sin = cosec θ - cot θ.

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