The value of `2sintheta` can be `a+1/a`, where `a` is a positive number and `ane1`.

Explanation

To solve the problem, we need to analyze the expression \(2 \sin \theta = a + \frac{1}{a}\) where \(a\) is a positive number and \(a \neq 1\).

### Step-by-Step Solution:

1. **Understanding the Expression**:
We start with the equation:
\[
2 \sin \theta = a + \frac{1}{a}
...