Find the value of sin $75^{0}$

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

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

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

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

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Solution

The correct option is C $\frac{\sqrt{3} + 1}{2 \sqrt{2}}$
$s i n 75^{0}$
$= s i n (30^{0} + 45^{0})$
$= s i n 30^{0} c o s 45^{0} + c o s 30^{0} s i n 45^{0}$
$= \frac{1}{2} \frac{1}{\sqrt{2}} + \frac{\sqrt{3}}{2} \frac{1}{\sqrt{2}}$
$= \frac{1 + \sqrt{3}}{2 \sqrt{2}}$
Hence answer is A

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