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A three dimensional plot with a half plane extending from the axis labeled \(z\) in the direction of positive \(y\) and negative \(x\) axes shown in blue. The blue half plane is labeled \(\theta with r \gt 0\text{.}\) A red circular arc is drawn in the xy-plane from the axis labeled \(x\) to the blue half plane and is labeled \(\theta =2\text{.}\) A green half plane extending from the axis labeled \(z\) in the direction of negative \(y\) and positive \(x\) axes shown in green. The green half plane is labeled \(\theta with r \lt 0\text{.}\) A pink circular arc is drawn in the xy-plane from the axis labeled \(x\) to the green half plane and is labeled \(\theta =2+\pi\text{.}\)