Draw the graph of `f(x) = (sin x)/(sqrt(1 + tan^(2)x))- (cos x)/(sqrt(1 + cot^(2)x))`. Then find the range of f(x).

Explanation

To solve the problem step by step, we will first analyze the given function and then find its graph and range.

### Step 1: Rewrite the Function
The given function is:
\[ f(x) = \frac{\sin x}{\sqrt{1 + \tan^2 x}} - \frac{\cos x}{\sqrt{1 + \cot^2 x}} \]

Using the trigonometric identities:
- \( 1 + \tan^2 x = \sec^2 x \)
...