SOLUTION: Solve the equation for exact solutions over the interval [0, 2π). cos^2 x + 2 cos x + 1 = 0

Question 1043292: Solve the equation for exact solutions over the interval [0, 2π).
cos^2 x + 2 cos x + 1 = 0
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
Solve the equation for exact solutions over the interval [0, 2π).
cos^2 (x) + 2 cos (x) + 1 = 0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

 = ,  --->  ( apply the formula  =  )  --->

 = ,  --->

cos(x) + 1 = 0  --->

cos(x) = -1  --->

x = .

Answer.  x = .

Solved.

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SOLUTION: Solve the equation for exact solutions over the interval [0, 2π). cos^2 x + 2 cos x + 1 = 0