Question

Evaluate each of the following in the simplest form :
$tan{30}^{\circ }sec{45}^{\circ }+tan{60}^{\circ }sec{30}^{\circ }$

Answer 1

We have,
$tan{30}^{\circ }sec{45}^{\circ }+tan{60}^{\circ }sec{30}^{\circ }=\frac{1}{\sqrt{3}}\times \sqrt{2}+\sqrt{3}\times \frac{2}{\sqrt{3}}=\frac{\sqrt{2}+2\sqrt{3}}{\sqrt{3}}$