Question

Use Cauchy’s Mean Value Theorem to prove that:

frac{cosalpha -coseta }{sinalpha-sineta }=tan heta ,0< alpha < heta < eta < frac{pi }{2}

10 Apr 2022
Answer :
Word Count : 313
To prove the equation using Cauchy's Mean Value Theorem, let's first recall the theorem itself. The Cauchy Mean Value Theorem states that if \( f \) and \( g \) are continuous on a closed interval \([a, b]\) and differentiable on an open interval \((a, b)\), then there exists a point \( c \in (a, b) \) such that: \[ \frac{f(b) - _____ _________ ____ ___ _______ ______ ____ _____ _________ __________ ______ _________.
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