Although paper coffee cups seem like they would fall into the same category as juice or milk cartons, they are different and are not accepted in your recycling cart.
The paper cups are coated on the inside of the cup with a material called polythene to keep the contents warm. Even though polythene looks a lot like the wax coating on your traditional milk carton, it binds more tightly to the cup making it very difficult to recycle.
Bring Your Own Cup!
Instead, grab your own travel mug and ask the barista to fill it up. Many coffee shops even offer a discount for those who bring their own cup!