Question

unit 6
trigonometry
the sine function
image long description
determine the value of the function ( y=sin\theta ) when ( \theta = 30^{circ} ).

Explanation:

Step1: Recall the definition of sine function

In the unit - circle definition, for a point \((x,y)\) on the unit circle corresponding to an angle \(\theta\), \(\sin\theta=y\).

Step2: Identify the \(y\) - coordinate

Given the point \((\frac{\sqrt{3}}{2},\frac{1}{2})\) on the unit circle corresponding to \(\theta = 30^{\circ}\).

Answer:

\(\frac{1}{2}\)