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MathNet 2008-part-01 — 165 problems (EN–VI) Question 113

Math Olympiad Vault · MathNet 2008-part-01 — 165 problems (EN–VI)

Question 113

Suppose that the sides $a$, $b$, $c$ of $\triangle ABC$, corresponding to the angles $A$, $B$, $C$ respectively, constitute a geometric sequence. Then the range of
$$
\frac{\sin A \cot C + \cos A}{\sin B \cot C + \cos B}
$$
is ( ).