What is the value of
`[1/((1 - tan theta ))] - [1/((1 - tan theta ))] ` ?

Options

A. `tan theta `
B. `cot 2 theta `
C. ` tan 2 theta `
D. ` cot theta `

Answer

To solve the expression \(\frac{1}{1 - \tan \theta} - \frac{1}{1 - \tan \theta}\), we can follow these steps:

### Step 1: Identify the expression
The expression given is:
\[ \frac{1}{1 - \tan \theta} - \frac{1}{1 - \tan \theta} \]

### Step 2: Simplify the expression
Since both terms in the expression are identical, we can simplify it:
\[ \frac{1}{1 - \tan \theta} - \frac{1}{1 - \tan \theta} = 0 \]

### Step 3: Conclusion
The value of the expression is:
\[ \boxed{0} \]