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anonymous

  • one year ago

plz help! list the discontinuities for the function f(x)=cot(5x/3) choices: no discontinuities n(pi/2), where n is an integer n(pi/3),where n is an integer n(3pi/5) where n is an integer

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  1. ChillOut
    • one year ago
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    \[\cot(5x/3)=\frac{ \cos(5x/3) }{ \sin(5x/3) }\]find the values in which sin(5x/3)=0.

  2. anonymous
    • one year ago
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    C?

  3. ChillOut
    • one year ago
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    Yep.

  4. Michele_Laino
    • one year ago
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    hint: this is the graph of cot(x): |dw:1434080256309:dw|

  5. ChillOut
    • one year ago
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    Woah, such hand drawing, haha

  6. ChillOut
    • one year ago
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    Anyways, This is the kind of discontinuity in which the denominator is equal to "0".

  7. Michele_Laino
    • one year ago
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    we have a disconitnuity at x=pi, 2*pi, 3*pi,... nevertheless it is the graph of cot(x) not the graph of your function

  8. Michele_Laino
    • one year ago
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    hint: for which values of x we have: \[\Large \frac{{5x}}{3} = \pi ,\;2\pi ,\;3\pi ,...,n\pi \]

  9. anonymous
    • one year ago
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    the correct answer is sin(5(3pi/5)/3) = 0, so D, 3pi/5

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