1.1. The diagram shows the graph of $y=f(t)$, where $f(t)=cosect$, $0^{\circ}\leqx\leq360^{\circ}.$

The vertical distance between the minimum point, $(90,1)$ , and the maximum point, $(270,-1)$ is 2.  The horizontal distance between them is 180.

Find, in terms of $a$, the vertical and horizontal distances between the minimum and maximum point on the graph of $y=-\frac{1}{a}f(at),a\neq0$.

1.2. Hence or otherwise show that the distance between the minimum and maximum point on the graph of $y=-\frac{1}{a}f(at),a\neq0$

$\frac{2\sqrt{8101}}{a}$