The correct option is B (√(3) 1)/2√(2) cos 75^0 = cos (90^0 15^0) = sin 15^0 = (√(3) 1)2√(2) ...

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Determination of Significant Digits in a Number

cos 750 = ?

Question

$c o s 75^{0} = ?$

\frac{(\sqrt{3} + 1)}{2 \sqrt{2}}

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\frac{(\sqrt{3} - 1)}{2 \sqrt{2}}

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\frac{(\sqrt{2} - 1)}{2 \sqrt{2}}

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\frac{(\sqrt{2} + 1)}{2 \sqrt{2}}

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Solution

The correct option is B $\frac{(\sqrt{3} - 1)}{2 \sqrt{2}}$
$c o s 75^{0} = c o s (90^{0} - 15^{0}) = s i n 15^{0} = \frac{(\sqrt{3} - 1)}{2 \sqrt{2}}$

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