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Preheat the oven to 350 and coat 2 baking sheets with nonstick cooking spray.
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Beat the margarine and 1 1/2 cups sugar with an electric mixer until fluffy.
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Add the milk, egg, and egg whites and beat again.
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Add the flour, cream of tartar, baking soda and salt and beat until well mixed.
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Combine the remaining sugar and the cinnamon in a shallow plate or bowl.
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Shape the dough into 1-inch balls and roll them in the cinnamon sugar to coat on all sides.
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The dough will be sticky.
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If it's too difficult to handle, flour your hands lightly.
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Arrange the balls of dough on the baking sheets and flatten them slightly with your fingers or the back of a spoon.
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Bake for 8 to 10 miniutes or until the cookies are lightly browned.
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Cool the cookies on the baking sheet for about 5 minutes and then transfer to a wire rack to cool completely.
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Repeat until all cookies are baked.