To evaluate sin(π/3), we can use our knowledge of the unit circle and the special angles in trigonometry. The angle π/3 radians corresponds to 60 degrees.
In the unit circle, the coordinates of points can help us find the sine and cosine values for special angles. For the angle π/3, the coordinates are:
- x (cosine) = 1/2
- y (sine) = √3/2
Therefore, sin(π/3) is equal to √3/2. This means that the sine of π/3 radians is:
sin(π/3) = √3/2
Understanding these values comes in handy for solving various problems in trigonometry, especially when dealing with right triangles and when applying the sine function in different contexts.