Question

Prove that tan 71 = sin 26 + cos26/ cos26 - sin 26

Answer 1

Answer:

Step-by-step explanation:

Tan 71 = Tan (45+26)

//using Tan(A+B) = TanA + TanB / 1 - TanATanB

           = Tan45 + Tan26 / 1 - Tan45Tan26

           =  1 + Tan26 / 1 - Tan26

           = 1 + (Sin26/Cos26) / [1 - (Sin26/Cos26)]

           = [Cos26 + Sin26 / Cos26] / [Cos26 - Sin26 / Cos26]

            = Cos26 + Sin26 / Cos26 - Sin26

             = R.H.S

Hence proved.