Draw the graph of `f(x) = |tan x| + |cot x|.`

Explanation

To draw the graph of the function \( f(x) = |\tan x| + |\cot x| \), we will follow a systematic approach. Here’s a step-by-step solution:

### Step 1: Understanding the Function
The function \( f(x) = |\tan x| + |\cot x| \) involves the absolute values of the tangent and cotangent functions. We need to analyze the behavior of these functions in different intervals.

### Step 2: Identify the Domain
The tangent function \( \tan x \) is undefined at \( x = \frac{\pi}{2} + n\pi \) (where \( n \) is any integer), and the cotangent function \( \cot x \) is undefined at \( x = n\pi \). Therefore, the function \( f(x) \) is defined for all \( x \) except at these points.

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