Question

Evaluate:
$\cos {60}^o+\sin {60}^o+\tan {60}^o+\cot {60}^o+\sec {60}^o+\csc {60}^o$

Answer 1

$\cos 60+\sin 60+\tan 60+\cot 60+\sec 60+\csc 60$

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

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

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