Q. Find the value of tan 35$°$ tan 40$°$ tan 45$°$ tan 50$°$ tan 55$°$.

Dear Student,

Please find the attached solution.

Value of tan35tan40tan45tan50tan55 is 
tan35tan40tan45tan50tan55
  = tan(90-55)tan(90-50)tan45tan50tan55
  =cot55 cot50 tan45 tan50 tan55   [ since tan(90-A) = cotA ]
  =tan45                                           [since cotA = 1/tanA]
  = 1                                                 [tan 45 = 1]

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