Given:
(i) \(\mathrm{A}=60^{\circ}\) and \(\mathrm{B}=30^{\circ}\)
(ii) \(\mathrm{A}=110^{\circ}\) and \(\mathrm{B}=50^{\circ}\)
(iii) \(\mathrm{A}=225^{\circ}\) and \(\mathrm{B}=135^{\circ}\)
Use a calculator to evaluate each of the following:
(a) \(\cos (\mathrm{A}-\mathrm{B})\)
(b) \(\cos A-\cos B\)
(c) \(\cos \mathrm{A} \cdot \cos \mathrm{B}+\sin \mathrm{A} \cdot \sin \mathrm{B}\)