Question

prove that : tan 15 degree + cot 15 degree = 4

Answer 1

Given Tan 15 + cot 15

       =   sin 15/cos 15 + cos 15/sin 15

       =  (sin^2 15 + cos^2 15)/sin 15 cos 15

       =  1/1/2 sin (15 + 15) - sin(15 - 15)

      =   1/(1/2 sin 30)

      =   2/sin 30

      =   2/ (1/2)

      =   4.

LHS = RHS.

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