The number of integral values of α such that  sinxcos⁡3x−αcos⁡xsin⁡3x=0  does not have any real root other then (2n+1)π2,n∈1 for any real value of x is _______.

sin⁡xcos⁡3x−αcos⁡xsin⁡3x=0       ……..(i)⇒ α=sin⁡xcos⁡3xcos⁡xsin⁡3x     ..........(ii)α=tan⁡xtan⁡3xα=tan⁡x1−3tan2⁡x3tan⁡x−tan2⁡xα=1−3tan2⁡x3−tan2⁡xFor  real  value  of .x RHS  of 2nd never  lies  between 13,3= Number of integral  points  [1, 2]= 2 points