Maths-
General
Easy

Question

The function f left parenthesis x right parenthesis equals sin invisible function application fraction numerator pi x over denominator 2 end fraction plus 2 cos invisible function application fraction numerator pi x over denominator 3 end fraction minus tan invisible function application fraction numerator pi x over denominator 4 end fraction is period with period

  1. 6    
  2. 3    
  3. 4    
  4. 12    

The correct answer is: 12


    Period of sin invisible function application fraction numerator pi x over denominator 2 end fraction equals fraction numerator 2 pi over denominator pi divided by 2 end fraction equals 4
    Period of cos invisible function application fraction numerator pi x over denominator 3 end fraction equals fraction numerator 2 pi over denominator pi divided by 3 end fraction equals 6
    Period of tan invisible function application fraction numerator pi x over denominator 4 end fraction equals fraction numerator pi over denominator pi divided by 4 end fraction equals 4
    thereforePeriod of f left parenthesis x right parenthesis equals L.C.M. of (4, 6, 4) = 12

    Book A Free Demo

    +91

    Grade*

    Related Questions to study