SOLUTION: The directions are to solve each equation on the interval [0,2pi) 2. cos^2x=cos x (cosine squared x)

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Question 639141: The directions are to solve each equation on the interval [0,2pi)
2. cos^2x=cos x
(cosine squared x)

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
cos%5E2%28x%29=cos+%28x%29
cos%5E2%28x%29-cos+%28x%29=0
cos%28x%29%28cos+%28x%29-1%29=0
Use a property of zero
cos%28x%29=0 or cos%28x%29-1=0
x=pi%2F2, x=3pi%2F2 or cos%28x%29=1
x=pi%2F2, x=3pi%2F2 or x=0