The maximum value of `Delta=|(1,1,1),(1,1+sintheta,1),(1+costheta,1,1)|` is (`theta` is real) (A) `1/2` (B) `(sqrt(3))/2` (C) `sqrt(2)` (D) `-(sqrt(3))/2`

Explanation

To find the maximum value of the determinant \( \Delta = |(1,1,1),(1,1+\sin\theta,1),(1+\cos\theta,1,1)| \), we will follow these steps:

### Step 1: Write the Determinant
We start with the determinant:

\[
\Delta = \begin{vmatrix}
1 & 1 & 1 \\
...