Cream the shortening, 1 1/2 cups sugar and eggs until light and fluffy. Combine cream of tarter, salt, flour and soda. Stir into creamed mixture. Stir in vanilla. Shape the dough into balls the size of walnuts. Combine 4 teaspoons sugar and cinnamon, mixing well. Roll each ball into mixture. Place on a greased cookie sheet, flatten cookies slightly with fork. Bake at 400 degrees for 8 minutes or until the first cookies begin to fall.