Let be any angle satisfying .

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Let θ\theta be any angle satisfying π2<θ<π\dfrac{\pi}{2}<\theta<\pi. (i) Determine whether each of the following is positive or negative for such a θ\theta: sin⁡θ,  cos⁡θ,  tan⁡θ,  sec⁡θ,  csc⁡θ,  cot⁡θ\sin\theta,\;\cos\theta,\;\tan\theta,\;\sec\theta,\;\csc\theta,\;\cot\theta. (ii) For θ=5π6\theta=\dfrac{5\pi}{6}, clearly state the sign (positive or negative) of each of the six trigonometric functions listed in part (i).

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