question_answer

Find the value of \[\text{cos3}0{}^\circ \text{ cos45}{}^\circ \text{ }-\text{ sin3}0{}^\circ \text{ sin45}{}^\circ \].

A)  \[\frac{\sqrt{6}+1}{2}\]               

B)  \[\frac{\sqrt{6}+\sqrt{2}}{4}\]

C)  \[\frac{\sqrt{6}-\sqrt{2}}{8}\]   

D)         \[\frac{\sqrt{2}(\sqrt{3}-1)}{4}\]