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Find the values of x for which the follo...

Find the values of x for which the following pair of functions are identical.
(i) `f(x)=tan^(-1)x+cot^(-1)x " and " g(x)=sin^(-1)x +cos^(-1)x`
(ii) `f(x)=cos(cos^(-1)x) " and " g(x)=cos^(-1)(cosx)`

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To find the values of \( x \) for which the given pairs of functions are identical, we will analyze each pair separately. ### Part (i): **Functions:** \( f(x) = \tan^{-1} x + \cot^{-1} x \) \( g(x) = \sin^{-1} x + \cos^{-1} x \) **Step 1: Analyze \( f(x) \)** ...
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