Question

Evaluate w/o using a calulator:
sec (11 pi/6)
My answer was (2 sqrt3/3)
Can someone check if it's right?

Answer 1

sec (11π / 6) is the same as 1 / cos(11π / 6)

Answer 2

sec(11pi/6) = 1/cos(11pi/6)

cos(11pi/6)

we can see from the graph that cos(2pi - x) = cos(x)

cos(11pi/6) = cos(2pi - pi/6) = cos(pi/6) = sqrt(3)/2

Answer 3

so sec(11pi/6) = 1/(sqrt(3)/2) = 2/sqrt(3) = 2sqrt(3)/3

Answer 4

yes you are correct

Answer 5

\[1 / \cos(11π / 6) = 1 / \sqrt{3}/2\]
\[= 2\sqrt{3}/3\]

Answer 6

Thanks smart people lol i thought i had it wrong. :)