MAT 110 Study Guide - Quiz Guide: Polar Coordinate System, Precalculus
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Provide a generalization to each of the key terms listed in this section. Rectangular coordinates : (x, y) x = r cos y = r sin . 2 rectangular to polar r = px2 + y2 r2 = x2 + y2 tan = y x. 6. 1 horizontal line a : real n umber. 7. 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. 9 theorem: symmetry tests [in terms of in po- lar equations] 9. 1 symmetric, but with respect to the polar axis: x- 9. 2 symmetric, but with respect to the line: y axis.
