Question

5sinx+cosx=0 Решите плз!!!!!!

Answer 1

k1=0 x= -arctg1/5
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Answer 2

$5sinx+cosx=0$
разделим почленно на $cosx neq 0$
$5tgx+1=0$
$5tgx=-1$
$tgx=- frac{1}{5}$
$x=arctg(- frac{1}{5})+ pi n,$ $n$ ∈ $Z$
$x=-arctg frac{1}{5}+ pi n,$ $n$ ∈ $Z$