evaluate. write your answer in simplified, rationalized form. do not round. sin(\\frac{\\pi}{3}) =

evaluate. write your answer in simplified, rationalized form. do not round. sin(\\frac{\\pi}{3}) =

evaluate. write your answer in simplified, rationalized form. do not round. sin(\\frac{\\pi}{3}) =

Answer

Explanation:

Step1: Use the property of sine function

We know that (\sin(-\alpha)=-\sin\alpha). So (\sin\left(-\frac{\pi}{3}\right)=-\sin\frac{\pi}{3}).

Step2: Recall the value of (\sin\frac{\pi}{3})

From the unit - circle or trigonometric values, (\sin\frac{\pi}{3}=\frac{\sqrt{3}}{2}).

Answer:

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