Question

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

Answer 1

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

Answer 2

`sec (11 \pi )/(6)= (1)/(cos (11 \pi )/(6) )`
Than:
`cos (11 \pi )/(6)= ( √(3) )/(2)`

`(1)/( ( √(3) )/(2) ) = (2)/( √(3) ) = (2 √(3) )/(3)`
Answer:Yes, it is equal.