The period of f(x)= ( x -1 )+ ( x ) n ∈ 7 , n > 2 is:

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

The period of \(f(x)=\sin \left(\frac{\pi x}{\pi-1}\right)+\cos \left(\frac{\pi x}{\pi}\right)\) n ∈ \(7\), n > 2 is:
  1. \(2 \pi n(n-1)\)
  2. \(4 n(n-1)\)
  3. \(\operatorname{Zn}(n-1)\)
  4. None of these

Answer

(B) 4 n(n-1)

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