Show that `tan 3x tan 2x tan x = tan 3x - tan 2x - tan x`. – InterviewSolution

InterviewSolution

1.	Show that `tan 3x tan 2x tan x = tan 3x - tan 2x - tan x`.
Answer» `3x = 2x + x` `tan 3x = tan(2x+x)` `tan 3x = (tan 2x + tan x)/(1- tan2xtanx)` `tan3x (1- tan2xtanx) = tan2x + tanx)` `tan3x - tan3xtan2xtanx = tan2x + tanx` `tan3x - tan2x - tanx = tan3x tan2x tanx` hence proved

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