Maths-
General
Easy

Question

Number of solutions of the equation Sin x + sin2x + sin3 x + sin4x + ……. Π= 2 where x Π[0,4Π], is

  1. 2    
  2. 4    
  3. 5    
  4. 6    

The correct answer is: 4


    Sin x (1 + sin x + sin2 + …..  ) = 2
    fraction numerator sin invisible function application x over denominator 1 minus s i n invisible function application x end fraction equals 2
    s i n invisible function application x equals fraction numerator 2 over denominator 3 end fraction less than 1 text  and  end text greater than 0
    therefore s i n invisible function application x greater than 0 only intext  Ist and  end text text IInd end text
    there are 2 solution in [ 0,blank 2 pi]
    And again we set 2 solution for same intervel in left square bracket 2 pi comma 4 pi right square bracket
    Total solutions are 4

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