The directors may terminate the chairman's appointment at any time.
Generally article the is used before first, second third etc
Teachers should be friendly to students.
No article
Because egg gives vowel sound.
A teacher should be friendly to his or her students.
The life of an undercover detective is filled with necessary duplicity.
? Dolphins are very intelligent.
Here the sentence is talking about a particular city.
Therefore, definite article the should be used.
Here, both 'will' and 'way' are general term and therefore article 'a' is used.