SOLUTION: Solve the equation: cos 2ω + cos ω + 1 = 0 Find all solutions on [0,2π).

SOLUTION: Solve the equation: cos 2ω + cos ω + 1 = 0 Find all solutions on [0,2π).

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Question 929305: Solve the equation:
cos 2ω + cos ω + 1 = 0
Find all solutions on [0,2π).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the equation:
cos 2ω + cos ω + 1 = 0
Find all solutions on [0,2π).
***

cosx(2cosx+1)=0
cosx=0
x=π/2, 2π/3
or
2cosx+1=0
cosx=-1/2
x=2π/3, 4π/3 (In quadrants II and III where cos<0)

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