Question

Is sec (11 pi/6) equal to (2 sqrt 3/3)?

Answer 1

$sec \frac{11 \pi }{6}= \frac{1}{cos \frac{11 \pi }{6} }$
Than:$cos \frac{11 \pi }{6}= \frac{ \sqrt{3} }{2}$
$\frac{1}{ \frac{ \sqrt{3} }{2} } = \frac{2}{ \sqrt{3} } = \frac{2 \sqrt{3} }{3}$
Answer:Yes, it is equal.

Answer 2

Yeap. sec (11pi/6) = 1/cos(11pi/6), verifying by calculator, you will get 1.1547, which is the value of 2 sqrt3/3