Find all solutions in the interval [0, 2π).
cos2x + 2 cos x + 1 = 0 (3 points)



x = 2π
x = π
x = pi divided by four. , seven pi divided by four.
x = pi divided by two. , three pi divided by two.

Respuesta :

First you must know that for remarkable angles: cos (0) = 1, cos (π) = - 1, cos (π / 2) = 0, cos (3π / 2) = 0, cos (2π) = 1. Then, by simple substitution in the given formula, you can find the solutions of x. Which for the interval [0, 2π) are: x = π, x = pi divided by two and x = three pi divided by two.Attached solution.
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