6. use the unit - circle to answer the following questions. which angle measure is sin(θ)=1/2? a. π/3 b…

Explanation:

Step1: Recall sine - value on unit circle

On the unit circle, for a point $(x,y)$ corresponding to an angle $\theta$, $\sin(\theta)=y$.

Step2: Check each option

For option a, if $\theta = \frac{\pi}{3}$, then $\sin(\frac{\pi}{3})=\frac{\sqrt{3}}{2}$. For option b, if $\theta=\frac{2\pi}{3}$, then $\sin(\frac{2\pi}{3})=\frac{\sqrt{3}}{2}$. For option c, if $\theta = \frac{7\pi}{6}$, then $\sin(\frac{7\pi}{6})=-\frac{1}{2}$. For option d, if $\theta=\frac{\pi}{6}$, then $\sin(\frac{\pi}{6})=\frac{1}{2}$.

Answer:

d. $\frac{\pi}{6}$