The sine of 60 degrees, expressed as a fraction, is √3/2.
This value is a fundamental trigonometric ratio derived from the unit circle and special right triangles, particularly the 30-60-90 triangle. In a 30-60-90 triangle, the side lengths are in the ratio of 1:√3:2, where the side opposite the 30-degree angle is 1, the side opposite the 60-degree angle is √3, and the hypotenuse is 2.
Since sine is defined as the ratio of the opposite side to the hypotenuse, sin(60°) = (side opposite 60°) / (hypotenuse) = √3 / 2. This is the exact fractional representation of sin 60 degrees. The decimal approximation of √3/2 is approximately 0.86602540.
