Final answer:
The client is utilizing emotion-focused coping strategy by increasing drinking and smoking after being diagnosed with a chronic illness.
Step-by-step explanation:
The client is utilizing emotion-focused coping strategy by increasing drinking and smoking after being diagnosed with a chronic illness. Emotion-focused coping involves efforts to reduce negative emotions associated with stress. In this case, the client is using drinking and smoking as a way to distract themselves from the stress and negative emotions caused by their illness.