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

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

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Answer 1 · 2015-10-18T17:03:45

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#

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

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