Verified Answer :

imaginetarsiers

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

HomertheGenius

\(sec \frac{11 \pi }{6}= \frac{1}{cos \frac{11 \pi }{6} }\)
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.

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