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If y = sin[cos{tan(cot x)}], then find dy/dx.

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If y = sin[cos{tan(cot x)}], then find dy/dx.

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Given y = sin[cos{tan(cot x)}], then

= cos[cos{tan(cot x)}] x [-sin{tan(cot x)}] x sec2 (cot x) x (-cosec2x)

= cosec2 x.sec2(cot x).sin{tan(cot x)}].cos[cos{tan(cot x)}] 

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