Mathematics

Mathematics

Problem

If θ∈(−3π2, −π)\theta \in \bigl(-\tfrac{3\pi}{2},\,-\pi\bigr), what is the sign of S=sin⁡θ cot⁡θcos⁡θS=\dfrac{\sin\theta\,\cot\theta}{\cos\theta}? a) Negative b) Cannot be determined c) Positive d) Zero

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