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- https://math.libretexts.org/Courses/Reedley_College/Trigonometry/04%3A_Further_Applications_of_Trigonometry/4.04%3A_Polar_Coordinates_-_GraphsA polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indi...A polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indicate whether the graph of a polar equation will exhibit symmetry. If an equation fails a symmetry test, the graph may or may not exhibit symmetry.
- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_1350%3A_Precalculus_Part_I/10%3A_Further_Applications_of_Trigonometry/10.04%3A_Polar_Coordinates_-_GraphsA polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indi...A polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indicate whether the graph of a polar equation will exhibit symmetry. If an equation fails a symmetry test, the graph may or may not exhibit symmetry.
- https://math.libretexts.org/Courses/Fresno_City_College/Precalculus%3A__Algebra_and_Trigonometry_(Math_4_-_FCC)/12%3A_Further_Applications_of_Trigonometry/12.05%3A_Polar_Coordinates_-_GraphsA polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indi...A polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indicate whether the graph of a polar equation will exhibit symmetry. If an equation fails a symmetry test, the graph may or may not exhibit symmetry.
- https://math.libretexts.org/Bookshelves/Algebra/Algebra_and_Trigonometry_1e_(OpenStax)/10%3A_Further_Applications_of_Trigonometry/10.04%3A_Polar_Coordinates_-_GraphsA polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indi...A polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indicate whether the graph of a polar equation will exhibit symmetry. If an equation fails a symmetry test, the graph may or may not exhibit symmetry.
- https://math.libretexts.org/Workbench/Algebra_and_Trigonometry_2e_(OpenStax)/10%3A_Further_Applications_of_Trigonometry/10.05%3A_Polar_Coordinates_-_GraphsA polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indi...A polar equation describes a relationship between r and θ on a polar grid. It is easier to graph polar equations if we can test the equations for symmetry. There are three symmetry tests that indicate whether the graph of a polar equation will exhibit symmetry. If an equation fails a symmetry test, the graph may or may not exhibit symmetry.
- https://math.libretexts.org/Courses/Rio_Hondo/Math_175%3A_Plane_Trigonometry/06%3A_The_Polar_System/6.02%3A_Graphing_Basic_Polar_EquationsFigure \PageIndex2: (a) A graph is symmetric with respect to the line θ=π2 (y-axis) if replacing (r,θ) with (−r,−θ) yields an equivalent equation. (b) A gr...Figure \PageIndex2: (a) A graph is symmetric with respect to the line θ=π2 (y-axis) if replacing (r,θ) with (−r,−θ) yields an equivalent equation. (b) A graph is symmetric with respect to the polar axis (x-axis) if replacing (r,θ) with (r,−θ) or (−r,π−θ) yields an equivalent equation. (c) A graph is symmetric with respect to the pole (origin) if replacing (r,θ) with (−r,θ) yields an equivalent equation.
