evaluate. write your answer in simplified, rationalized form. do not round. sin(π/3) =

Explanation:

Step1: Recall the unit - circle value

The sine of an angle in the unit circle. For the angle (\frac{\pi}{3}) (60 degrees), from the properties of a 30 - 60 - 90 triangle. In a 30 - 60 - 90 triangle with hypotenuse (c = 2), the side opposite the 60 - degree angle (a=\sqrt{3}) and the side opposite the 30 - degree angle (b = 1). The formula for (\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}). For (\theta=\frac{\pi}{3}), (\sin(\frac{\pi}{3})=\frac{\sqrt{3}}{2})

Answer:

(\frac{\sqrt{3}}{2})