SOLUTION: Find all solutions of the equation in the interval [0,2π) algebraically. Sec^2 x - sec x =2 what are the steps to do this problem? how do i start?

Question 246382: Find all solutions of the equation in the interval [0,2π) algebraically. Sec^2 x - sec x =2
what are the steps to do this problem? how do i start?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find all solutions of the equation in the interval [0,2π) algebraically.
Sec^2 x - sec x =2
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It's a quadratic in sec(x).
sec^2 - sec - 2 = 0
(sec - 2)*(sec + 1) = 0
sec(x) = 2
sec(x) = -1
------------
sec(x) = 2
x = 60�, 120� = pi/3, 2pi/3
--------------------
sec(x) = -1
x = 180� = pi radians

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SOLUTION: Find all solutions of the equation in the interval [0,2&#960;) algebraically. Sec^2 x - sec x =2 what are the steps to do this problem? how do i start?

SOLUTION: Find all solutions of the equation in the interval [0,2π) algebraically. Sec^2 x - sec x =2 what are the steps to do this problem? how do i start?