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For \( 0x\frac{\pi}{2} \), let \( P_{\mathrm{mn}}(x)=m \log _{\cos x}(\sin x)+n \log _{\cos x}(\cot x) \); wherę \( m, n \in\{1,2, \ldots, 9\} \)
\( P \)
[For example :
W
\[
\begin{array}{l}
P_{29}(x)=2 \log _{\cos x}(\sin x)+9 \log _{\cos x}(\cot x) \text { and } \\
\left.P_{77}(x)=7 \log _{\cos x}(\sin x)+7 \log _{\cos x}(\cot x)\right]
\end{array}
\]
On the basis of above information , answer the following questions :
The mean proportional of numbers \( P_{49}\left(\frac{\pi}{4}\right) \) and \( P_{94}\left(\frac{\pi}{4}\right) \) is equal to
(a) 4
(b) 6
(c) 9
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