COORDINATE = planning, arranging, or aligning (usually projects, events, schedules, campaigns, etc.): It has professional connotations and is very frequently used in job descriptions/to describe your job. It doesn't mean working together with other people so much as it means 1) managing other people or something so that it runs well. 2)two people/organizations/entities both working on the same thing separately, but talking to each other about what they are doing so that it works well. I's also used in personal life: **Examples** "Anne schilling is coordinating the volunteers." "We want to meet up, but we're trying to coordinate(/align) our schedules." "Mechanisms for coordinating migration management between countries of origin and destination of migration are crucial in the refugee crisis." "I am the office coordinator, and I help make sure everything runs smoothly at my office, like the conductor of an orchestra." "The world health organization coordinates global responses to health crises."
COLLABORATE Working together on a project or for a common purpose. This is almost only used in professional contexts, and can mean people or departments or offices or countries working together. **Examples** "I'd like to collaborate with you on this project." "Our non-profit collaborates with government and private companies to(/in order to) improve computer literacy." "Collaboration between all impacted parties will be important in addressing the issue." "I like collaborative work enviornments" "The UN collaborates with government health departments to(/in order to) reduce maternal mortality."
COOPERATE = helping/working well or better together. EXAMPLES "Let's cooperate better." "The royal court wants Balhae's royal family to cooperate." "Whenever people cooperate, they use less resources. In everything." "Eastern European EU members are not cooperating with Angela Merkel in addressing the refugee crisis."