The value of \[\mathbf{sin}\,\mathbf{45}{}^\circ .\,\mathbf{cos}\,\mathbf{30}{}^\circ -\mathbf{cos}\,\mathbf{45}{}^\circ .\,\mathbf{sin}\,\mathbf{30}{}^\circ \] is equal to _________

\[\frac{\sqrt{2}}{4}(\sqrt{3}+\sqrt{2})\]

\[\frac{\sqrt{6}-\sqrt{2}}{4}\]

\[\frac{\sqrt{6}-\sqrt{2}}{2\sqrt{2}}\]

The value of \[\mathbf{sin}\,\mathbf{45}{}^\circ .\,\mathbf{cos}\,\mat

1.	The value of \[\mathbf{sin}\,\mathbf{45}{}^\circ .\,\mathbf{cos}\,\mathbf{30}{}^\circ -\mathbf{cos}\,\mathbf{45}{}^\circ .\,\mathbf{sin}\,\mathbf{30}{}^\circ \] is equal to _________
A.	\[\frac{\sqrt{3}+1}{2}\]
B.	\[\frac{\sqrt{6}-\sqrt{2}}{4}\]
C.	\[\frac{\sqrt{2}}{4}(\sqrt{3}+\sqrt{2})\]
D.	\[\frac{\sqrt{6}-\sqrt{2}}{2\sqrt{2}}\]
E.	None of these
Answer» C. \[\frac{\sqrt{2}}{4}(\sqrt{3}+\sqrt{2})\]

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The value of \[\mathbf{sin}\,\mathbf{45}{}^\circ .\,\mathbf{cos}\,\mathbf{30}{}^\circ -\mathbf{cos}\,\mathbf{45}{}^\circ .\,\mathbf{sin}\,\mathbf{30}{}^\circ \] is equal to _________

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