Perform the indicated operation and simplify the result. $\tan x (\csc x - \cot x)$
The answer is

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So, the final answer is $- 1 + \sec x$ .

Steps

Step 1 ：Given the expression is $\tan x (\csc x - \cot x)$ .

Step 2 ：We know that $\csc x = \frac{1}{\sin x}$ , $\cot x = \frac{\cos x}{\sin x}$ and $\tan x = \frac{\sin x}{\cos x}$ .

Step 3 ：Substitute these values into the expression to get $(- \frac{\cos x}{\sin x} + \frac{1}{\sin x}) \frac{\sin x}{\cos x}$ .

Step 4 ：Simplify the expression to get $- 1 + \frac{1}{\cos x}$ .

Step 5 ：This is equivalent to $- 1 + \sec x$ .

Step 6 ：So, the final answer is $- 1 + \sec x$ .