SOLUTION: Find all solutions of the equation in the interval [0, 2π) 5 sec^2 x − 5 = 0 10 sin^2 x + 15 sin x + 5 = 0 2 sin^2 x = 2 + cos x 2 sec x csc x = 4 csc x 10 sec^2 x

Question 847342: Find all solutions of the equation in the interval [0, 2π)
5 sec^2 x − 5 = 0
10 sin^2 x + 15 sin x + 5 = 0
2 sin^2 x = 2 + cos x
2 sec x csc x = 4 csc x
10 sec^2 x + 5 tan^2 x − 15 = 0

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
5sec^2(x) - 5 = 0
5sec^2(x) = 5
sec^2(x) = 1
sec(x) = 1
x = 0, 2pi, 4pi, etc
-----------------
sec(x) = -1
x = pi, 3pi, 5pi, etc
====================
Try the others.
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SOLUTION: Find all solutions of the equation in the interval [0, 2&#960;) 5 sec^2 x &#8722; 5 = 0 10 sin^2 x + 15 sin x + 5 = 0 2 sin^2 x = 2 + cos x 2 sec x csc x = 4 csc x 10 sec^2 x

SOLUTION: Find all solutions of the equation in the interval [0, 2π) 5 sec^2 x − 5 = 0 10 sin^2 x + 15 sin x + 5 = 0 2 sin^2 x = 2 + cos x 2 sec x csc x = 4 csc x 10 sec^2 x