Question

evaluate. write your answer in simplified, rationalized form. do not round.

$\sin(\pi) =$

Explanation:

Step1: Recall the unit - circle definition of sine

On the unit circle \(x = \cos\theta\), \(y=\sin\theta\), where \(\theta\) is the angle measured counter - clockwise from the positive \(x\) - axis.
For \(\theta=\pi\), the point on the unit circle is \((- 1,0)\).

Step2: Identify the value of \(\sin(\pi)\)

Since \(y = \sin\theta\), when \(\theta=\pi\) and the \(y\) - coordinate of the point \((x,y)\) on the unit circle for \(\theta = \pi\) is \(0\).

Answer:

\(0\)