I had to take my 2 cats to the vets the other day, not for anything serious they just both needed an injection.  One of the cats is quite a bit older than the other so is more used to being bundled into a basket for transportation.

I wouldn’t go as far as to say she is happy in there, but she doesn’t put up much of a fuss - either in the basket or when she is actually at the vets.  She just sits on the table while I hold her - I swear she does it deliberately, but as the vet sticks the needle in, she looks up at me with those big eyes as if to say “this is all your fault, she is sticking a huge syringe in my neck - thanks!”