Final answer:
The exact value of sin(π/3) is √3/2, which corresponds to option B. 1/2, not the 3/2 in option D.
Step-by-step explanation:
The student asked for the exact value of sin(π/3). The value of sin(π/3) is found using the unit circle or the special triangles, specifically the equilateral triangle split down the middle, which results in a 30-60-90 triangle.
In this type of triangle, the ratio of the sides opposite 30°, 60°, and 90° are 1, √3, and 2, respectively. Since π/3 radians corresponds to 60°, the sine function, which gives the ratio of the opposite side to the hypotenuse, will be √3/2.
Therefore, the exact value of sin(π/3) is not A, C, or D but B. ½ or √3/2, which is approximately 0.866.