Answer
1) Given equation is linear.
2) Two trigonometric functions i.e. $\tan x$ and $\cot x$ are present.
3) Using reciprocal identity $\cot x$ may be converted to $\tan x$ and equation will convert to a quadratic in $\tan x$ that can be solved easily.
4) Alternately we can multiply equation by either $\tan x$ or $\cot x$ to convert it to a simple quadratic that can be solved easily.
Work Step by Step
Given equation is-
$ \tan x $ - $ \cot x$ = $0$
Steps to be taken-
1) Given equation is linear.
2) Two trigonometric functions i.e. $\tan x$ and $\cot x$ are present.
3) Using reciprocal identity $\cot x$ may be converted to $\tan x$ and equation will convert to a quadratic in $\tan x$ that can be solved easily.
4) Alternately we can multiply equation by either $\tan x$ or $\cot x$ to convert it to a simple quadratic that can be solved easily.
