An Angle Range Estimate

★ 7/10trigonometry AM-GM Triangle Geometry

Problem

In an acute triangle $ABC$ , the sides opposite $A, B, C$ are $a, b, c$ , and

\frac{b^2}{ac} \geqslant \frac{\cos^2 B}{\cos A\cos C}.

Find the range of possible values of $B$ .

Answer

Solution

Difficulty	7/10
Topics	trigonometry, AM-GM, Triangle Geometry

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