Question #56859

1 Answer
Nghi N.
Oct 11, 2016

-2

Explanation:

Use Trig Table and unit circle:
sec ((22pi)/3) = 1/(cos)
First, find cos ((22pi)/3)
cos ((22pi)/3) = cos [(-2pi/3) + ((24pi)/3)] =
= cos ((-2pi/3) + 4(2pi)) = cos ((-2pi)/3) = cos ((2pi)/3) = -1/2
Finally,
sec ((22pi)/3) = 1/(cos) = -2

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