8. Let $A(2,0)$ be a fixed point on the plane, and $P\left(\sin \left(2 t-60^{\circ}\right), \cos \left(2 t-60^{\circ}\right)\right)$ be a moving point. Then, as $t$ varies from $15^{\circ}$ to $45^{\circ}$, the area of the figure swept by the line segment $A P$ is $\qquad$ .
Given that $M N / / O A$ and $\angle M O N=60^{\circ}$, we have $S_{\text {shaded }}=S_{\text {sector } O M N}+S_{\triangle O N A}-S_{\triangle O M A}$ $=\frac{\pi}{6}+\frac{\sqrt{3}}{2}-\frac{\sqrt{3}}{2}=\frac{\pi}{6}$.