According to the Trademark Law of China, unauthorized use of another person's registered trademark is an infringement. Therefore, it is an infringement for a hamburger shop to sell Coca-Cola in cups without the authorization of the Coca-Cola Company.

Trademark is one of the important assets of an enterprise, and the registration and use right of a trademark is also the legitimate rights and interests of an enterprise. Unauthorized use of other people's trademarks by other enterprises or individuals will damage the legitimate rights and interests of trademark registrants and adversely affect market order and consumer rights and interests.

In addition, if a hamburger shop wants to use Coca-Cola's trademark, it should first apply for trademark authorization from Coca-Cola Company to ensure that its behavior is legal and compliant. At the same time, consumers should also pay attention to the legitimacy of trademarks when buying goods, and avoid buying infringing goods.