The sine of π/3, or sin(π/3), is a trigonometric function that corresponds to the angle 60 degrees.
To understand why sin(π/3) equals a specific value, we can refer to the properties of a 30-60-90 triangle. In this triangle, the sides are in the ratio of 1 : √3 : 2. The length of the side opposite the 60-degree angle (which is π/3 radians) is √3, and the hypotenuse is 2.
Therefore, the sine of an angle is defined as the length of the opposite side divided by the length of the hypotenuse. So for π/3, we have:
sin(π/3) = (opposite side) / (hypotenuse) = √3 / 2.
In conclusion, sin(π/3) equals √3 / 2.