Question

Evaluate the following?
$\frac{ \cos(45 )}{ \sec(30) + \cos(30) ?}$
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Answer 1

Step-by-step explanation:

$\frac{ \cos(45 )}{ \sec(30) + \cos(30) }$

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

$\frac{ \frac{1}{ \sqrt{2} } }{ \frac{4 + {( \sqrt{3} )}^{2} }{2 \sqrt{3} } }$

$\frac{ \frac{1}{ \sqrt{2} } }{ \frac{4 + 3}{2 \sqrt{3} } }$

$\frac{ \frac{1}{ \sqrt{2} } }{ \frac{7}{2 \sqrt{3} } }$

$\frac{1}{ \sqrt{2} } \times \frac{2 \sqrt{3} }{7}$

$\frac{2 \sqrt{3} }{7 \sqrt{2} }$