Which one of the following expressions is identically equal to for all acute angles ?

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Which one of the following expressions is identically equal to 11 for all acute angles θ\theta? (a) csc⁡2θ−cot⁡θ\csc^2\theta-\cot\theta (b) sec⁡2θ−tan⁡2θ\sec^2\theta-\tan^2\theta (c) sec⁡2θ+tan⁡2θ\sec^2\theta+\tan^2\theta (d) sin⁡2θ+cos⁡θ\sin^2\theta+\cos\theta

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