Find the simplified form of for .

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

Problem

Find the simplified form of 1−cos⁡2xsin⁡x cos⁡x\dfrac{1-\cos^{2}x}{\sin x\,\cos x} for x≠nπ, n∈Zx\neq n\pi,\,n\in\mathbb Z. (a) sin⁡x\sin x (b) cot⁡x\cot x (c) tan⁡x\tan x (d) sec⁡x\sec x

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