tg x - tg (7π/2 - x) = 1

tgx-tg(7π/2-x)=1tgx-ctgx=1tgx-1/tgx=1tg²x-tgx-1=0,tgx≠0tgx=aa²-a-1=0D=1+4=5a1=(1-√5)/2⇒tgx=(1-√5)/2⇒x=arctg(1-√5)/2+πn,n∈za2=(1+√5)/2⇒tgx=(1+√5)/2⇒x=arctg(1+√5)/2+πn,n∈z