Question
Wed January 09, 2013 By: Aditya

Show that tan 3x. tan 2x. tan x = tan 3x – tan 2x – tan x

Expert Reply
Wed January 09, 2013
3x = 2x + x
tan3x = tan (2x + x )
         = (tan 2x + tan x)/(1 - tanx tan2x)
tan3x - tanx tan2x tan3x = tan2x + tanx
tanx tan2x tan3x = tan3x - tan2x - tanx
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