Question

решить уравнение:cos x+sіn x=0

Answer 1

$cosx+sinx=0|:cosx neq 0\x neq frac{ pi }{2} + pi n, nin Z \ frac{cosx}{cosx} + frac{sinx}{cosx} =0 \ 1+tgx=0\tgx=-1\x=- frac{ pi }{4} + pi k, kin Z$

Answer 2

cosx+sinx=0/cosx≠0
1+tgx=0
tgx=-1
x=-π/4+πn,n∈Z