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Solve the following equation: costheta+c...

Solve the following equation: `costheta+cos3theta-cos2theta=0`

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Let us start with Combining `costheta and cos3theta.`
`(costheta+cos3theta)+cos2theta=0`
=`2cos2thetacostheta+cos2theta=0`
or `cos2theta(2costheta+1)=0`
∴`cos2theta=0=cos(π/2),`
∴`2theta=(n+1/2​)π,`
or `theta=(2n+1)π/4`
`2costheta+1=0`
...
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