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    Simplify: cos 5° + cos 24° + cos 175° + cos 204° + cos 300°
    Question

    Simplify:
    cos 5° + cos 24° + cos 175° + cos 204° + cos 300°

    A.

    —1/2

    B.

    0

    C.

    1

    D.

    1/2

    Correct option is D


    cos 5° + cos 24° + cos 175° + cos 204° + cos 300°
    cos 5° + cos 24° + cos (180 – 5) ° + cos (180 + 24 )° + cos (360 – 60 )°
    cos 5° + cos 24° - cos 5° - cos 24° + cos 60°
    cos 60° = ½

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