SOLUTION: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank.
cos (2x) + cos (x) = 2
x =
x =
TH
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Question 927037: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank.
cos (2x) + cos (x) = 2
x =
x =
THANKS
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank.
2cos^2(x)+cosx-3=0
(2cosx+3)(cosx-1)=0
2cosx+3=0
cosx=-3/2 (reject,-1 ≤ cosx ≤ 1
or
(cosx-1)=0
cosx=1
x=0
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