Find the value of x: `"cosec"(90^(@)+theta)+x costhetacot(90^(@)+theta)=sin(90^(@)+theta)`

Explanation

To solve the equation \( \csc(90^\circ + \theta) + x \cos \theta \cot(90^\circ + \theta) = \sin(90^\circ + \theta) \), we will follow these steps:

### Step 1: Rewrite the Trigonometric Functions
We know the following identities:
- \( \csc(90^\circ + \theta) = \sec \theta \)
- \( \sin(90^\circ + \theta) = \cos \theta \)
- \( \cot(90^\circ + \theta) = -\tan \theta \)

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