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Solve: `cos3x+cosx-cos2x=0`

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`cos3x+cosx-cos2x=0`
`rArr 2cos2x.cosx-cos2x=0`
`rArr 2cos2x.cosx-cos2x=0`
`rArr cos2x(2cosx-1)=0`
`rArr cos2x=0`or `cosx=1/2`
`rArr 2x=(2n+1)pi/2`
or `cosx=cospi/3, n int I`
`rArr x=(2n+1)pi/4` or `x=2npi+-pi/3,` `n int I`. Ans.

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