Question

Найдите значение выражения

Answer 1

(4sinα-cosα)/(8cosα+4sinα)
tgα=3, sinα/cosα=3, sinα=3cosα

(4.3cosα-cosα)/8cosα-4.3cosα)=(12cosα-cosα)/8cosα-12cosα)=
=11cosα/(-4cosα)=-11/4, (cosα≠0, α≠π/2 +kπ,k∈Z)