a·pol·o·get·ic 
(ə-pŏl′ə-jĕtĭk) also a·pol·o·get·i·cal (-ĭ-kəl)
(ə-pŏl′ə-jĕtĭk) also a·pol·o·get·i·cal (-ĭ-kəl)adj.
1. Offering or expressing an apology or excuse: an apologetic note; an apologetic smile.
2. Self-deprecating; humble: an apologetic manner.
3. Serving as or containing a formal justification or defense: an apologetic treatise on church doctrine.
n.
A formal defense or apology.
[Middle English, formal defense, from Latin apologēticus, from Greek apologētikos, suitable for defense, from apologeisthai, to defend oneself verbally, from apologos, apology, story; see APOLOGUE.]
a·pol′o·geti·cal·ly adv.