Some companies have developed cups with a loosely attached polyethylene liner that can be easily detached from a cardboard coffee cup. Or have made the plastic lining from plants instead of oil. This way, the cup itself can be recycled.
However, these cups still require energy and resources to produce. And recycling the cups after they are used comes at another cost: more energy and money. Speaking of price, these cups tend to be more expensive and this cost ultimately harms the consumer. Not to mention when we use these cups we are still being exposed to the chemicals in plastic.
Recyclable cups are, of course, a better alternative to throwaway ones. But the best choice of all is bringing your own, reusable cup.