Find the product of $cos 30^{0} . cos 45^{0} . cos 60^{0}$

\frac{\sqrt{3}}{4 \sqrt{2}}

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\frac{\sqrt{3}}{2 \sqrt{2}}

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\frac{\sqrt{3}}{\sqrt{2}}

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none of these

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Solution

The correct option is B $\frac{\sqrt{3}}{4 \sqrt{2}}$
$cos 30^{0} \cdot cos 45^{0} \cdot cos 60^{0}$
$= \frac{\sqrt{3}}{2} \times \frac{1}{\sqrt{2}} \times \frac{1}{2} = \frac{\sqrt{3}}{4 \sqrt{2}}$

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