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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) $\cos \mathrm{A} \cdot \cos \mathrm{B}+\sin \mathrm{A} \cdot \sin \mathrm{B}$
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