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Write the following function in the simp...

Write the following function in the simplest form: `tan^(-1)((sqrt(1+x^2)-1)/x ), x!=0`

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To simplify the function \( \tan^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right) \), we can follow these steps: ### Step 1: Trigonometric Substitution Let \( x = \tan(\theta) \). This substitution helps us simplify the expression involving the square root. ### Step 2: Substitute \( x \) in the Expression Substituting \( x \) into the expression gives: \[ ...
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