MTH 162 Lecture Notes - Lecture 29: Cartesian Coordinate System, Polar Coordinate System, Logarithmic Spiral
Document Summary
9. 4 areas and lengths in polar equations notes: sterling. Provide a generalization to each of the key terms listed in this section. Rectangular (x, y) x = r cos y = r sin . Rectangular to polar coordinates r = px2 + y2 r2 = x2 + y2 tan = y x. Equation : r sin = a a 0 : a units lying above the pole a < 0 : |a| units below the pole a : real n umber. Equation : r cos = a a 0 : a units lying to the right of the pole a < 0 : |a| units to the lef t of the pole. Theorem: equations and circles r = 2a sin . Center : ( a, 0) r = 2a sin r = 2a cos r = 2a cos . Every circle would be passing through the pole.
