A level specimen paper applications of integration questionParametric equations , area under curves

A curve C has parametric equations x = acos 2t. y = 2a cost, for OstS -, where a is a positive constant. (a) Show that the equation of normal to the curve at the point P(acos2p. 2acos p) is y=-2cos p(x-2acos p) (3] UC 9758/01/Prelim/2022 15 (b) The normal at P meets the x-axis at the point R. Show that the area enclosed by the x-axis, the normal at P and C is given by Aa costsin 2t dr + a cos p. where the values of , and f2 should be stated. [6] (c) Hence find in terms of a, the exact area in part (b) given now that p = [3]