Question

найдите 7cosa-6sina/3sina+4cosa,если tga=2

Answer 1

$tga=2\\ frac{7cosa-6sina}{3sina+4cosa} = frac{cosacdot (7-6tga)}{cosacdot (3tga+4)} =frac{7-6cdot 2}{3cdot 2+4} = frac{-5}{10} =-0,5$