I do not know if you mean tan (x/2) or (1/2) tan x
Parentheses are important.
I will just do y = tan x = sin x / cos x
perhaps that will get you going.
dy/dx = (cos^2 x + sin^2 x)/cos^2 x
= 1/cos^2 x
Show that if y=tanx/2
dy/dx=1/sinx
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