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Modest Thief
Lv 5
Modest Thief asked in Science & MathematicsMathematics · 9 years ago

Does the graph of y = sin(x - sinx) have horizontal tangents at the x-axis?

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  • Geeganage W
    Lv 5
    9 years ago
    Favorite Answer

    y = sin(x - sinx)

    dy/dx ={cos(x-sinx)]*(1-cosx)

    when dy/dx=0;

    cos(x-sinx)=0 or cosx=1

    when cosx=1;

    x=2nπ, where n is an integer

    Then y = 0

    Therefore the graph of y = sin(x - sinx) have horizontal tangents at the x-axis for all x =2nπ

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