Prove that \[ \frac{\cos 2 A \cos 3 A-\cos 2 A \cos 7 A+\cos A \cos 10 A}{\sin 4 A \sin 3 A-\sin...
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0Prove that
\[
\frac{\cos 2 A \cos 3 A-\cos 2 A \cos 7 A+\cos A \cos 10 A}{\sin 4 A \sin 3 A-\sin 2 A \sin 5 A+\sin 4 A \sin 7 A}=\cot 6 A \cot 5 A
\]
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