Question

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

Answer 1

Answer:

727

Step-by-step explanation:

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Answer 2

Let 3x = 2x + x

Taking “tan” on both sides,

tan 3x = tan (2x + x)

We know that,

Class 11 Chapter 3 Imp Ques 5 figure 1

tan 3x = (tan 2x + tan x)/ (1- tan 2x tan x)

tan 3x(1 – tan 2x tan x) = tan 2x + tan x

tan 3x – tan 3x tan 2x tan x = tan 2x + tan x

tan 3x – (tan 2x + tan x) = tan 3x tan 2x tan x

Therefore, tan 3x – tan 2x – tan x = tan 3x tan 2x tan x.