SOLUTION: What is Sec(-π/6)
Kindly explain much appreciated.
Algebra.Com
Question 1197388: What is Sec(-π/6)
Kindly explain much appreciated.
Answer by greenestamps(13332) (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).
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