The exact value of sin(π/6) is 1/2.
To understand why, we can refer to the unit circle. The angle π/6 radians corresponds to 30 degrees. In the unit circle, the coordinates for this angle are (√3/2, 1/2). The sine of an angle is defined as the y-coordinate of the corresponding point on the unit circle.
Therefore, for the angle π/6, the sine value is the y-coordinate, which is 1/2. This relationship helps us find the exact values of sine for commonly used angles.