Question

Cos 45°/sec30°+coses30°​

Answer 1

$\huge \underline{ \underline{ \bf \purple{Solution :}}}$

$\longrightarrow \: \sf \frac{\cos45}{ \sec30 +\csc30 } \\ \\\longrightarrow \: \sf \frac{ \dfrac{1}{ \sqrt{2} } }{ \dfrac{2}{ \sqrt{3} } + 2} \\ \\ \longrightarrow \: \sf \frac{ \dfrac{1}{ \sqrt{2} } }{ \dfrac{2 + 2 \sqrt{3} }{ \sqrt{3} }} \\ \\\longrightarrow \: \sf \frac{1 \times \sqrt{3} }{ \sqrt{2} (2 + 2 \sqrt{3}) } \\ \\\longrightarrow \: \sf \frac{ \sqrt{3} }{2 \sqrt{2} + 2 \sqrt{6} } \\ \\ \longrightarrow \: \sf\frac{ \sqrt{3} }{2( \sqrt{2} + \sqrt{6}) }$