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