Question

tg(П-5х)=-1 помогите решить

Answer 1

tg(π-5x)=-1
π-5x=-π/4+k.π, k∈Z
5x=π+π/4-k.π,k∈Z
5x=5π/4-k.π,k∈Z
x=π/4-k.π/5, k∈Z

tg(α+π)=tgα
tg(π-5x)=tg(-5x)=-tg 5x
-tg 5x=-1, tg 5x=1, 5x=π/4+k.π, k∈Z, x=π/20+k.π/5