The exact value of sin 60 is √3/2.
This value can be derived from the properties of a 30-60-90 triangle. In such a triangle, the sides are in the ratio of 1 : √3 : 2. Here, the side opposite the 60-degree angle corresponds to the length √3, and the hypotenuse is 2. Therefore, when calculating the sine of 60 degrees, which is defined as the ratio of the opposite side to the hypotenuse, we get:
sin(60) = (length of opposite side) / (length of hypotenuse) = √3 / 2.
This fraction is already in its simplest form, providing a clear and concise answer to the question.