Is `|t a n x+cot x|<|t a n x|+|cot x|` true for any `x ?` If it is true, then find the values of `xdot`

Explanation

To determine whether the inequality \( | \tan x + \cot x | < | \tan x | + | \cot x | \) holds true for any value of \( x \), we will analyze the expressions involved.

### Step 1: Understand the functions involved
The functions \( \tan x \) and \( \cot x \) are defined as:
- \( \tan x = \frac{\sin x}{\cos x} \)
- \( \cot x = \frac{\cos x}{\sin x} \)

Both functions have the same sign in certain intervals:
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