Question

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Answer 1

$\frac{7Sin\alpha+13Cos\alpha}{5Sin\alpha-17Cos\alpha}=3\\\\7Sin\alpha+13Cos\alpha=15Sin\alpha-51Cos\alpha\\\\8Sin\alpha=64Cos\alpha\\\\Sin\alpha=8Cos\alpha|:Cos\alpha,-1\leq Cos\alpha\leq1\\\\\frac{Sin\alpha}{Cos\alpha}=\frac{8Cos\alpha}{Cos\alpha}\\\\tg\alpha =8\\\\Otvet:\boxed{tg\alpha=8}$