The sine of a 10-degree angle is 0.17. The sine is defined as the length of the side of the triangle opposite the angle in question, divided by the length of the hypotenuse. These lengths can be determined through the Pythagorean theorem.
Other trigonometric functions related to sine are the cosine and tangent functions. The value for the sine of 10 degrees is the same as the cosine of 80 degrees. The sine can also be determined from the radians of a circle contained in an angle. The value of 10-degree angle is equivalent to 0.174 radians. The sine of 10 degrees can also be found using the sine function on a graphing calculator.