Consider the polar curve given by r = cos (30). (a) [3 marks] Sketch the curve,...

Transcribed Image Text:

Consider the polar curve given by r = cos (30). (a) [3 marks] Sketch the curve, referred to as a three-leafed rose, on the axis provided. -2 = -1 2 -1 1 (b) [3 marks] Find corresponding polar coordinates (r, 0) for the point having Cartesian coordinates (x, y) (c) [4 marks] Determine the area enclosed by one leaf of the rose. Consider the polar curve given by r = cos (30). (a) [3 marks] Sketch the curve, referred to as a three-leafed rose, on the axis provided. -2 = -1 2 -1 1 (b) [3 marks] Find corresponding polar coordinates (r, 0) for the point having Cartesian coordinates (x, y) (c) [4 marks] Determine the area enclosed by one leaf of the rose.