Question

prove that tan 15+cot 15 = 4
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Answer 1

Step-by-step explanation:

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

L.H.S. = R.H.S.