Question

Решите пожалуйста пример

Answer 1

$frac{3sinalpha-5cosalpha+2}{sinalpha+3cosalpha+6}=frac{1}{3}$

$frac{frac{3sinalpha}{cosalpha}-frac{5cosalpha}{cosalpha}+frac{2}{cosalpha}}frac{{sinalpha}{cosalpha}+frac{3cosalpha}{cosalpha}+frac{6}{cosalpha}}=frac{1}{3}$

$frac{3tgalpha-5+frac{2}{cosalpha}}{tgalpha+3+frac{6}{cosalpha}}=frac{1}{3}$

$9tgalpha-15+frac{6}{cosalpha}=tgalpha+3+frac{6}{cosalpha}}$

$9tgalpha-tgalpha=3+15$

$8tgalpha=18 /:8$

$tgalpha=2 frac{1}{4}$