Question

Show that 3x tan 2x tan x= tan 3x - tan 2x - tan x

Answer 1

Heya mate
The answer of ur question is here


♢ From 3x = 2x + x
Applying tan on both sides..
tan3x = tan (2x+x)
tan3x = (tan2x+tanx)/1-tan2x tanx
(1-tan2x tanx)tan3x = tan2x+tanx
tan3x - tanx tan2x tan3x = tan2x+tanx
tanx tan2x tan3x = tan3x-tan2x-tanx




hope it helps you

Answer 2

So , the answer is here

3x=2x+x 

Taking tan on both sides

tan3x = tan (2x+x)

tan3x = (tan2x+tanx)/1-tan2x tanx
(1-tan2x tanx)tan3x = tan2x+tanx

tan3x - tanx tan2x tan3x = tan2x+tanx

tanx tan2x tan3x = tan3x-tan2x-tanx

Hence it is proved..

hope it helps