To find sin(2π/3), we can start by recognizing the angle’s position on the unit circle. The angle 2π/3 radians is located in the second quadrant, where sine values are positive.
The reference angle for 2π/3 is π/3 (since 2π/3 – π = π/3). The sine of the reference angle π/3 is known to be √3/2. Therefore, in the second quadrant, the sine value remains positive.
Thus, we have:
sin(2π/3) = sin(π/3) = √3/2
In conclusion, the value of sin(2π/3) is √3/2.