Answer
See image:
Work Step by Step
The condition on r implies that the region is inside or on the circle of radius 1 about the pole.
The condition on $\theta$ implies a sector between the angles $-\pi/4$ and $\pi/4$, including the borders.
Since r can be negative and positive, the symmetric points are also part of the region.
So, we have two sectors that make up the region.