(a(i))[3]
Apply the trapezium rule with $2$ intervals to approximate the value of $\int_{0}^{1.2} \sec x \, dx$, giving your answer correct to $2$ decimal places.
(a(ii))[1]
Explain, using the diagram, whether the trapezium rule gives an overestimate or an underestimate of the true value of the integral in part (i).
(a(iii))[6]
$P$ is the point on the part of the curve $y = \sec x$ for $0 \leq x < \frac{1}{2}\pi$ where the gradient is $2$. By differentiating $\frac{1}{\cos x}$ first, find the $x$-coordinate of $P$, and give your answer correct to $3$ decimal places.