Question

A= sen 4 pi/3+cossec 5pi/6+tg pi/6

Answer 1

$A=sen(\frac{4\pi}{3})+cossec(\frac{5 \pi}{6})+tg(\frac{\pi}{6})\\ \\ A=-\frac{ \sqrt{3} }{2}+\frac{1}{sen(\frac{5 \pi}{6})}+\frac{sen(\frac{5\pi}{6})} {cos(\frac{5 \pi}{6})}=\\ \\ A=-\frac{ \sqrt{3} }{2}+2-\frac{ \sqrt{3} }{3}\\ \\ A=2-\frac{5 \sqrt{3} }{2}$