Question

Evaluate:
$\frac{\cos {45}^{\circ }}{\sec {30}^{\circ }}+\frac{1}{\sec {60}^{\circ }}$

Answer 1

$\frac{\cos {45}^o}{\sec {30}^o}+\frac{1}{\sec {60}^o}$

$\Rightarrow \cos {45}^o\cos {30}^o+\cos {60}^o$

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

$=\frac{\sqrt{3}+\sqrt{2}}{2\sqrt{2}}$.