How do i delete photos from a nikon d 60 digital camera

To delete individual pictures, press the trashcan button while viewing the picture, then confirm.
To delete all pictures, format the memory card. FixYa is full of people asking how to retrieve pictures from cards that hadn't been formatted recently.
The format command is in the setup menu. Full details are in the "Formatting Memory Cards" section of the manual (page 24 in my copy). If you need a manual, you can download one here.