anonymous
  • anonymous
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
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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ChillOut
  • ChillOut
\[\cot(5x/3)=\frac{ \cos(5x/3) }{ \sin(5x/3) }\]find the values in which sin(5x/3)=0.
anonymous
  • anonymous
C?
ChillOut
  • ChillOut
Yep.

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Michele_Laino
  • Michele_Laino
hint: this is the graph of cot(x): |dw:1434080256309:dw|
ChillOut
  • ChillOut
Woah, such hand drawing, haha
ChillOut
  • ChillOut
Anyways, This is the kind of discontinuity in which the denominator is equal to "0".
Michele_Laino
  • Michele_Laino
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
Michele_Laino
  • Michele_Laino
hint: for which values of x we have: \[\Large \frac{{5x}}{3} = \pi ,\;2\pi ,\;3\pi ,...,n\pi \]
anonymous
  • anonymous
the correct answer is sin(5(3pi/5)/3) = 0, so D, 3pi/5

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