IPA: /ɛkˈkɒdʒɪteɪt/
KK: /ɛkˈkɑdʒɪˌteɪt/
To think about something carefully and in detail, often to come up with a plan or idea.
She needed to excogitate a solution to the complex problem.
Past: excogitated
Past Participle: excogitated
Excogitate → It is formed from "ex-" (meaning out) and "cogitare" (meaning to think). The word means to think something out or to devise a plan thoroughly.
Think of 'thinking out' ('ex-') a solution or idea — that's what excogitate means.