Question

find the exact value of the trigonometric function.

\\( \sin ( 0 ) = \\)

question help: video message instructor

Explanation:

Step1: Recall the unit - circle definition of sine

The sine of an angle \(\theta\) in standard position is defined as \(y\) - coordinate of the point on the unit circle corresponding to \(\theta\). For \(\theta = 0\), the point on the unit circle is \((1,0)\).

Step2: Determine the value of \(\sin(0)\)

Since \(\sin\theta=y\) (from the unit - circle definition \((x,y)=(\cos\theta,\sin\theta)\)), when \(\theta = 0\), \(y = 0\). So, \(\sin(0)=0\).

Answer:

\(0\)