How do I find the value of sec 11pi / 6?

1 Answer
Nghi N.
Oct 18, 2015

Find sec ((11pi)/6)

Ans: (2sqrt3)/3

Explanation:

sec ((11pi)/6) = 1/cos ((11pi)/6). Find cos ((11pi)/6)
On the trig unit circle,
cos ((11pi)/6) = cos (-pi/6 + 2pi) = cos (-pi/6) = cos (pi/6) = sqrt3/2
Finally, sec ((11pi)/6) = 2/sqrt3 = (2sqrt3)/3

Related questions
See all questions in Trigonometric Functions of Any Angle
Impact of this question
41417 views around the world
You can reuse this answer
Creative Commons License