Subjects polar coordinates

Polar Theta Zero E7Af01

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1. The problem asks to graph the polar curve given by the equation $\theta = 0$. 2. In polar coordinates, $\theta$ represents the angle from the positive x-axis (polar axis). 3. The equation $\theta = 0$ means the angle is fixed at zero radians. 4. This corresponds to all points along the positive x-axis, regardless of the radius $r$. 5. Therefore, the curve is a straight line starting at the pole (origin) and extending infinitely along the positive x-axis. 6. Among the given options (Rose, Circle, Limaçon with inner loop, Cardioid, Limaçon without inner loop, Line), the correct graph shape is a Line. 7. The line corresponds to the ray at angle zero in the polar coordinate system. Final answer: The polar curve $\theta = 0$ is a line along the positive x-axis.