Question

7sinx-4cosx=0 пожалуйста решите.

Answer 1

7sinx-4cosx=0/cosx
7tgx-4=0
7tgx=4
tgx=4/7
x=arctg4/7+πn,n∈z

Answer 2

$7sin x-4cos x=0\ 7sin x=4cos x\ 7tan x=4\ tan x=dfrac{4}{7}\ boxed{x=tan ^{-1}left(dfrac{4}{7}right)+kpi,(kinmathbb{Z})}$