Question

Бога, Христа ради помогите с тригонометрией ​

Answer 1

$\frac{8Sin\alpha-3Cos\alpha}{Cos\alpha+8Sin\alpha}=\frac{\frac{8Sin\alpha }{Cos\alpha}-\frac{3Cos\alpha}{Cos\alpha}}{\frac{Cos\alpha}{Cos\alpha}+\frac{8Sin\alpha}{Cos\alpha}}=\frac{8tg\alpha-3 }{1+8tg\alpha }=\frac{8*\frac{3}{7}-3 }{1+8*\frac{3}{7} }=\frac{59-21}{7}:\frac{7+59}{7}=\frac{38}{7}*\frac{7}{66}=\frac{38}{66}=\frac{19}{33}$