## 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

1. ChillOut

$\cot(5x/3)=\frac{ \cos(5x/3) }{ \sin(5x/3) }$find the values in which sin(5x/3)=0.

2. anonymous

C?

3. ChillOut

Yep.

4. Michele_Laino

hint: this is the graph of cot(x): |dw:1434080256309:dw|

5. ChillOut

Woah, such hand drawing, haha

6. ChillOut

Anyways, This is the kind of discontinuity in which the denominator is equal to "0".

7. 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

8. Michele_Laino

hint: for which values of x we have: $\Large \frac{{5x}}{3} = \pi ,\;2\pi ,\;3\pi ,...,n\pi$

9. anonymous

the correct answer is sin(5(3pi/5)/3) = 0, so D, 3pi/5