Chapter 11: Parametric Equations and Polar Coordinates - Section 11.3 - Polar Coordinates - Exercises 11.3 - Page 663: 23

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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 $3\pi/4$, including the borders. Since r is positive, the symmetric points are not part of the region.