cos [tan –1 sin (cot –1 x) ] is equal to :

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

cos [tan–1 {sin (cot–1 x)}] is equal to :
  1. \(\sqrt{\frac{x^{2}+2}{x^{2}+3}}\)
  2. \(\sqrt{\frac{x^{2}+2}{x^{2}+1}}\)
  3. \(\sqrt{\frac{x^{2}+1}{x^{2}+2}}\)
  4. None of these

Answer

(C) x^ 2 +1 x^ 2 +2

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