C The diagram shows the curve C with parametric equations x = _sint, y = tcost, where 0

6 The diagram shows the curve C with parametric equations x = 4 sint, y=tcost, where 0 S t < k. (i) Find the value of k. dy (ii) Find in terms of t. The maximum point on C is denoted by P. 121 [21 (iii) Using your answer to part (ii) and the standard small angle approximations, find an approximation for the x-coordinate ofP. (iv) a) Show that the area of the finite region bounded by C and the x-axis is given by bfoat(l where a and b are cOnstants to be determined. [41 [31