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If g is the inverse function of and f'(x...

If g is the inverse function of and f'(x) = sin x then prove that g'(x) = cosec (g(x))

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To prove that if \( g \) is the inverse function of \( f \) and \( f'(x) = \sin x \), then \( g'(x) = \csc(g(x)) \), we can follow these steps: ### Step 1: Understand the relationship between \( f \) and \( g \) Since \( g \) is the inverse function of \( f \), we have: \[ f(g(x)) = x \] ...
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