If , what is the sign of…

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

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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