For in the domain of both functions

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

For xx in the domain of both functions, let h(x)=tan⁡x cot⁡xh(x)=\tan x\,\cot x. Which of the following is h′(x)h'(x)? (a) 11 (b) 00 (c) sec⁡2x cot⁡x+tan⁡x csc⁡2x\sec^{2}x\,\cot x+\tan x\,\csc^{2}x (d) sec⁡2x−csc⁡2x\sec^{2}x-\csc^{2}x

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