Which of the following identities is correct for all values of for which it is defined?

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

Problem

Which of the following identities is correct for all values of θ\theta for which it is defined? (a) tan⁡θ=cos⁡θsin⁡θ\tan\theta = \dfrac{\cos\theta}{\sin\theta} (b) tan⁡θ=1−cos⁡θsin⁡θ\tan\theta = \dfrac{1-\cos\theta}{\sin\theta} (c) tan⁡θ=sin⁡θcos⁡θ\tan\theta = \dfrac{\sin\theta}{\cos\theta} (d) tan⁡θ=sin⁡θcos⁡θ\tan\theta = \sin\theta\cos\theta

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