Question

a point on the unit circle is $\left(\frac{1}{2},\frac{\sqrt{3}}{2}\
ight)$. what is the sine of the angle formed by a terminal ray that intersects the unit circle at this point? (1 point)

• $-\frac{1}{2}$
• $-\frac{\sqrt{3}}{2}$
• $\frac{\sqrt{3}}{2}$
• $\frac{1}{2}$

Explanation:

Step1: Recall unit - circle definition

For a point $(x,y)$ on the unit circle, $\sin\theta=y$.

Step2: Identify the y - coordinate

The given point is $(\frac{1}{2},\frac{\sqrt{3}}{2})$, and $y = \frac{\sqrt{3}}{2}$. So $\sin\theta=\frac{\sqrt{3}}{2}$.

Answer:

C. $\frac{\sqrt{3}}{2}$