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5 February, 08:25

Write the expression as a single trigonometric function. cos6xcos3x-sin6xsin3x

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  1. 5 February, 12:16
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    Cos (α+β) = cosα cosβ - sinα sinβ

    In this case:

    cos α=cos 6x

    cos β=cos 3x

    sin α=sin 6x

    sin β=sin 3x

    Then:

    cos 6x cos 3x - sin 6x sin 3x=cos (6x + 3x) = cos 9x

    Answer:

    cos 6x cos3x - sin 6x sin3x = cos 9x
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