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Write cot^(-1)(1/(sqrt(x^2-1))),|x|>1in ...

Write `cot^(-1)(1/(sqrt(x^2-1))),|x|>1`in the simplest form.

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To simplify the expression \( \cot^{-1}\left(\frac{1}{\sqrt{x^2-1}}\right) \) for \( |x| > 1 \), we can follow these steps: ### Step 1: Substitute \( x \) with \( \sec \theta \) Given that \( |x| > 1 \), we can use the trigonometric identity that relates secant to cosine. Let: \[ x = \sec \theta \] This implies: ...
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