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Question

Find the general solution:
cos3x+cosxcos2x=0

Solution
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cos3x+cosxcos2x=0
2cos(3x+x2)cos(3xx2)cos2x=0cos2x(2cosx1)=0
cos2x=0, cosx=12
x=(2n+1)π4, x=2nπ±π3

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