(i)[4]
Show that $a = \sqrt[3]{3 - 2\sin 2a - \cos a}$.
(ii)[2]
Using the equation in part (i), Show by calculation that $0.5 \le a \le 0.75$.
(iii)[3]
Use an iterative formula based on the equation in part (i) to determine the value of $a$ correct to 3 significant figures. Give each iteration result to 5 significant figures.
(c(ii))[2]
Using the equation in part (i), Show by calculation that $0.5 \le a \le 0.75$.
(c(iii))[3]
Use an iterative formula based on the equation in part (i) to find the value of $a$ correct to $3$ significant figures. Give the result of each iteration to $5$ significant figures.