30 POINTS Which is an x-intercept of the graph of the function y=cot(3x)?

Question

30 POINTS Which is an x-intercept of the graph of the function y=cot(3x)?

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Liliana 2 months 2021-09-19T07:47:42+00:00 2 Answers 0 views 0

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    0
    2021-09-19T07:48:51+00:00

    Answer:

    a on edg

    Step-by-step explanation:

    0
    2021-09-19T07:49:39+00:00

    Answer:

    x=\frac{\pi}{6}

    Step-by-step explanation:

    Choices aren’t given, so i will solve this equation and find the first positive x-intercept angle.

    First, x-intercept means the x-cutting point of the graph. This occurs when y = 0. So we will solve the equation for x. Shown below:

    y=Cot(3x)\\Cot(3x)=0\\ArcCot(Cot(3x))=ArcCot(0)\\3x=ArcCot(0)

    Inverse Cotangent (ArcCot) of 0 is at  \frac{\pi}{2}, so we can now solve for x:

    3x=ArcCot(0)\\3x=\frac{\pi}{2}\\x=\frac{\pi}{6}

    So, the x-intercept is at x = pi/6

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