Answer and Explanation:
We can find the sine of an angle θ by graphing θ, then finding the y-coordinate of the point of intersection with the unit circle.
[tex]\begin{array}{c | c} \underline\theta & \underline{\sin\theta}& 0 & 1 \\ \\\dfrac{\pi}6 & \dfrac{1}2 \\ \\\dfrac{\pi}4 & \dfrac{\sqrt2}{2} \\ \\ \dfrac{\pi}3 & \dfrac{\sqrt3}{2} \\ \\\dfrac{\pi}2 & 0\end{array}[/tex]
See the attached image of a unit circle for more coordinates.
