4400 Higher November 2005 Paper 4 Q17

17 Three functions are defined as follows:
\(\mathrm{f} : x \mapsto \cos x^\circ\) for the domain \(0 \leqslant x \leqslant 180\)
\(\mathrm{g} : x \mapsto \sin x^\circ\) for the domain \(0 \leqslant x \leqslant 90\)
\(\mathrm{h} : x \mapsto \tan x^\circ\) for the domain \(p \leqslant x \leqslant q\)