Paper 3 May/June 2006 MATHEMATICH (9709/3) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

a) By sketching a suitable pair of graphs, show that the equation
$\sec x = 3 - \frac{1}{2}{x^2}$,
where $x$ is in radians, has a root in the interval $0 \lt x \lt \frac{1}{2}\pi $.
b) Verify by calculation that this root lies between 1 and 1.4.
c) Show that this root also satisfies the equation
$x = {\cos ^{ - 1}}\left( {\frac{2}{{6 - {x^2}}}} \right)$.
d) Use an iterative formula…