SOLUTION: find all values of a in [0 degrees,360 degrees) that satisfy the given equation. sec3a=2 thank you !

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Question 890363: find all values of a in [0 degrees,360 degrees) that satisfy the given equation.
sec3a=2
thank you !

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sec(3a) = 2
cos(3a) = 1/2
3a = 60, 300, 420, 660, 780, 1020 degs
(Or, 3a = 60 + n*360, n = 0,1,2,3... degs)
(Or, 3a = 300 + n*360, n = 0,1,2,3... degs)
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a = 20, 100, 140, 220, 260, 340 degs