Advance Math

Find solutions of the equation in the interval [0, 2pie}

Cos(x+pie/3)+Cos(x-pie/3)=1

I need to show work without calculator and be able to check in order for it to work

Thanks for help

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  1. Cos(x+pie/3)+Cos(x-pie/3)=1
    cosxcosπ/3 - sinxsinπ/3 + cosxcosπ/3 + sinxsinπ/2 = 1
    2cosxcosπ/3 = 1
    2cosx(1/2) = 1
    cosx = 1
    x = 0 or x = 2π

    I will leave the checking up to you

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  2. thanks a lot

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  3. welcome

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