Final answer:
The therapeutic communication technique being used when asking a patient open-ended questions about their headache and sleep issues is 'open-ended questioning.' This technique is intended to encourage detailed discussion and better understanding of the patient's condition.
Step-by-step explanation:
When a patient reports not sleeping well because of a headache and you sit down and ask questions about the headache, the therapeutic communication technique you are using is open-ended questioning. This method involves asking questions that cannot be answered with a simple 'yes' or 'no,' allowing the patient to provide more detailed information. It's essential for engaging patients in a conversation about their symptoms and concerns that might be contributing to their sleep disturbance, promoting a better understanding of their condition and fostering a therapeutic relationship between patient and healthcare provider.