Respuesta :

Yeap. sec (11pi/6) = 1/cos(11pi/6), verifying by calculator, you will get 1.1547, which is the value of 2 sqrt3/3
[tex]sec \frac{11 \pi }{6}= \frac{1}{cos \frac{11 \pi }{6} } [/tex]
Than:[tex]cos \frac{11 \pi }{6}= \frac{ \sqrt{3} }{2} [/tex]
[tex] \frac{1}{ \frac{ \sqrt{3} }{2} } = \frac{2}{ \sqrt{3} } = \frac{2 \sqrt{3} }{3} [/tex]
Answer:Yes, it is equal.