Simplify `tan^(-1)[(acosx-bsinx)/(bcosx+asinx)],`if `a/btanx > -1`.

Explanation

To simplify the expression \( \tan^{-1}\left(\frac{a \cos x - b \sin x}{b \cos x + a \sin x}\right) \) given that \( \frac{a}{b} \tan x > -1 \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ y = \tan^{-1}\left(\frac{a \cos x - b \sin x}{b \cos x + a \sin x}\right) \]

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