Most of today's cameratraps allow you to preset the camera to take photos or videos. However, not at the same time. Cameratrapss that are equipped with a so-called hybrid function are able to take photos and videos simultaneously. This works as follows: as soon as the camera is triggered by a moving heat source, one or more photos are taken (depending on the settings and possibilities of the cameratrap), followed by a video. This is a very nice feature, but do realize that it always takes time for the camera to switch between photo and video mode. This time between the photo(s) and video mode varies depending on the speed of the camera, but the result may be that the animal is already out of the picture as soon as the video mode starts. Keep this in mind when using this functionality so that you do not unnecessarily waste battery and storage capacity. This function is useful if you want to obtain both photo and video images from the same snapshot. It is also a useful feature for 'wireless' camera models, as videos - due to their size - cannot always be transmitted properly. With a forwarded photo, you stay well informed of what is happening in front of the cameratrap, while you can later look back at the recorded videos on the memory card.
Here are a few differences between the photo and video modes. Perhaps this can help you make the right choice for your application.