Answer
The left-hand side and right hand side are equal.
Work Step by Step
Need to verify $\ln |\tan x|+\ln |\cot x| =0$
Consider $\ln |\tan x|+\ln |\cot x|=\ln |\dfrac{\tan x}{\cot x}|$
or, $\ln |\dfrac{\tan x}{\cot x}|=\ln |\dfrac{\tan x}{\cot x}|$
Thus,$\ln |1|=0$ (RHS)
Hence, the left-hand side and right hand side are equal.
