MAT 110 Lecture Notes - Lecture 22: Cartesian Coordinate System, Polar Coordinate System, Precalculus
Document Summary
10. 2 polar equations and graphs notes: sterling. Provide a generalization to each of the key terms listed in this section. Helps with graphing polar equations and used circles and lines instead of just lines like a rectangular grid. Any equation that has variables that are the polar coordinates. A graph that has all of the given points with all polar coordinates satisfying the equation. 6. 1 horizontal line a : real n umber. Equation : r sin = a a 0 : a units lying above the pole a < 0 : |a| units below the pole. Equation : r cos = a a 0 : u nits lying to the right of the pole a < 0 : |a| units to the lef t of the pole. Every circle would be passing through the pole. 8 theorem: symmetry tests [in terms of in po- lar equations] 8. 1 symmetric, but with respect to the polar axis: x-
