Word Count : 195

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Consider the functions (f(x) = \cos x) and (g(x) = \sin x), which are continuous on the closed interval ([\alpha, \beta]) and differentiable on the open interval ((\alpha, \beta)), where (0 < \alpha < \theta < \beta < \frac{\pi}{2}). According to Cauchy's Mean Value Theorem, there exists a _____ ___ ___ __________ ______ _______ __________ _______ ___.
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