A Secant Mean Condition

★ 8/10trigonometry Trigonometric Identities AM-GM inequality

Problem

In an acute triangle $ABC$ ,

\frac{1}{\cos A} + \frac{1}{\cos B} = \frac{2}{\cos C}.

Find the maximum value of $\cos C$ .

Answer

Solution

Difficulty	8/10
Topics	trigonometry, Trigonometric Identities, AM-GM, inequality

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