I usually do my homework while my mother is cooking dinner.

Explanation

Dependent clause, but only if we're referring to the clause "while my mother is cooking dinner". However, the entire sentence contains both an independent clause and a dependent clause.Here's the breakdown:- "I usually do my homework" is an Independent clause: - It has a subject (I) - It has a verb (do) - It expresses a complete thought- "while my mother is cooking dinner" is a Dependent clause (specifically, a subordinate clause): - It begins with the subordinating conjunction "while" - It has a subject (my mother) - It has a verb (is cooking) - It cannot stand alone as a complete sentence