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General
Easy

Question

If n element of N , and the period of fraction numerator cos invisible function application n x over denominator sin invisible function application open parentheses x over n close parentheses end fraction is 4 pi , then n is equal to

  1. 4
  2. 3
  3. 2
  4. 1

The correct answer is: 2


    Since, period of cos invisible function application n x equals fraction numerator 2 pi over denominator n end fraction
    And period of sin invisible function application open parentheses x over n close parentheses equals 2 n pi
    thereforePeriod of fraction numerator cos invisible function application n x over denominator sin invisible function application open parentheses x over n close parentheses end fraction is 2 n pi
    not stretchy rightwards double arrow 2 n pi equals 4 pi not stretchy rightwards double arrow n equals 2

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