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How does slope relate to degree angles?

For example , a degree of 1 means a slope of 1/57.29, and a degree of 2 means a slope of 1/28.9916, and a degree of 3 means a slope of 19.08109. and the slope just keeps getting larger and larger but its not being multiplied by two or anything. So does anyone know a function that can describe the relationship between two?