The variable `x` satisfying the equation `|sinxcosx|+sqrt(2+tan^2+cot^2x)=sqrt(3)` belongs to the interval `[0,pi/3]` (b) `(pi/3,pi/3)` (c) `[(3pi)/4,pi]` (d) none-existent

Options

A. `[0,pi/3]`
B. `(pi/3pi/2)`
C. `[(3pi)/4,pi)`
D. None of these

Explanation

To solve the equation \(|\sin x \cos x| + \sqrt{2 + \tan^2 x + \cot^2 x} = \sqrt{3}\), we will follow these steps:

### Step 1: Simplify the equation
We start with the equation:
\[ |\sin x \cos x| + \sqrt{2 + \tan^2 x + \cot^2 x} = \sqrt{3} \]

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