Question

Prove that tan alfa=
sin 2alfa
and hence deduce that tan 22
1+ cos2alfa
22 =√2–1​

Answer 1

Answer:tan x=sin2x/(1+cos2x)

r.h.s =sin2x/(1+cos2x)

       =2sinx.cosx/(2cos^(x) -1 +a)

      =tanx

l.h.s=r.h.s//

x =22.5

tan(22.5) =sin (2.22.5)/(1+cos(2.22.5))

                =sin(45)/(1 +cos(45))

                 =1/1+2root2

                 =root2 -1//

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