Answer :

Let tan (15°) = tan(45°-30°)


We know that








We now



And



So, 3 tan (x - 15o) = tan (x + 15o) can be written as follows



(3 tan x – 3tan15)(1-tan x × tan15) = (1+tan x × tan15)(tan x + tan15)


3 tan x – 3 tan15-3 tan2x tan(15-3) tan x tan215 = tan x + tan15 + tan2x tan15 + tan x tan215


Solving the equation,


And putting



We get tan x - 1 = 0


Therefore, tan x =1


So, x=45°


Or



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