Which of the following identities is true for all permissible values of ?

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

Problem

Which of the following identities is true for all permissible values of θ\theta? (a) 1+tan⁡2θ=csc⁡2θ1+\tan^2\theta = \csc^2\theta (b) 1+tan⁡2θ=sec⁡2θ1+\tan^2\theta = \sec^2\theta (c) 1+cot⁡2θ=sec⁡2θ1+\cot^2\theta = \sec^2\theta (d) 1+sec⁡2θ=tan⁡2θ1+\sec^2\theta = \tan^2\theta

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