I only need answer for B

4. [Maximum mark: 24] This question asks you to investigate a circle inscribed in a sector that is inscribed in another circle. sector angle r = radius of small circle L = radius of sector R = radius of big circle A, = area of small circle A2 = area of sector As = area of big circle (a) (1) Show that =- cos20. 40 (ii) Find the values of - when 0 = 7 and 8 = =. [6] Naim guesses that - is maximized when 0 = = (7 + 7) = 24- (b) (1) Find, to five decimal places, the value of 2 when 0 =, (II) Determine if Naim's guess is correct or not. [4] (2 cos 0 sine2 (c) (1) Show that , = (1 + sine (il) Find the maximum value of AL to four decimal places. [6] Renee guesses that -1 is maximized when the circles are concentric. (d) Determine if Renee's guess is correct or not. [8]