Preheat oven to 400°. In a large bowl, cream shortening and 1-1/2 cups sugar until light and fluffy. Beat in eggs. In another bowl, whisk flour, cream of tartar, baking soda and salt; gradually beat into creamed mixture.
In a small bowl, mix cinnamon and remaining sugar. Shape dough into 1-in. balls; roll in cinnamon sugar. Place 2 in. apart on ungreased baking sheets.
Bake 8-10 minutes or until golden brown. Cool 2 minutes before removing to wire racks to cool.