本题目来源于试卷: Trigonometric Functions，类别为 IB数学
[问答题]
In a triangle ABC ,
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$\begin{array}{l}
5 \sin (\mathrm{ABC})-6 \cos (\mathrm{B} \hat{\mathrm{C}} \mathrm{A})=7, \\
6 \sin (\mathrm{B} \hat{\mathrm{C}} \mathrm{A})-5 \cos (\mathrm{A} \hat{\mathrm{B}})=\sqrt{2} .
\end{array}$
1. Show that $\sin (\mathrm{ABC}+\mathrm{BCA})=\frac{1}{6}$.
James claims that CÂB can have two possible values.
2. Show that James is wrong by proving that CÂB has only one possible value.
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