Another case is when you are somewhere in North latitude and the sun's declination is South.
"Lectures in Navigation"
Ernest Gallaudet Draper
You will know whether the star is North or South of you by its declination.
"Lectures in Navigation"
Ernest Gallaudet Draper
Does the apparent motion of a star change its declination or right ascension?
"A Text-Book of Astronomy"
George C. Comstock