SOLUTION: What is Sec(-π/6) Kindly explain much appreciated.

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Question 1197388: What is Sec(-π/6)
Kindly explain much appreciated.
Answer by greenestamps(13333) About Me  (Show Source):
You can put this solution on YOUR website!


(1) SEC(x) is 1/COS(x).

(2) An angle of -π/6 (-30 degrees) is in quadrant IV, with a reference angle of 30 degrees.

(3) The cosine of the reference angle is sqrt(3)/2.

(4) Cosine is positive in quadrant IV, so COS(-π/6) is sqrt(3)/2.

(5) So SEC(-π/6) is 2/sqrt(3).