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Preheat oven to 400.
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-Peel, devein and rinse shrimp.
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-Lay shrimp on a baking sheet and pat dry.
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-In a pie plate or other shallow dish, combine cornstarch, salt and red pepper.
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-In a shallow bowl, beat egg whites until slightly frothy.
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-Place coconut in another shallow dish.
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-Dredge each shrimp in the cornstarch mixture, then egg whites and finally coconut.
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-Press lightly with fingers to make sure shrimp is evenly coated.
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-After dredging, lay each shrimp on a baking sheet coated with cooking spray.
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-Bake for 20 minutes, turning over each shrimp after 10 minutes.