SOLUTION: List the discontinuities for the function f(x) = cot(5x over 3). A) There are no discontinuities. B) n(pi over 2), where n is an integer C) n(pi over 3), where n is an inte

Question 1101632: List the discontinuities for the function f(x) = cot(5x over 3).
A) There are no discontinuities.
B) n(pi over 2), where n is an integer
C) n(pi over 3), where n is an integer
D) n(three pi over five), where n is an integer
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
List the discontinuities for the function f(x) = cot(5x over 3).
Since tan is zero at (5/3)x = zero and again at pi and 2pi,
cot(5x/3) is discontinuous at (5/3)x = 0 and at (5/3)x) = pi and (5/3)x = 2pi etc.
So discontinuites are at x = (3pi)/5 and x = (2*3pi/5) etc.
A) There are no discontinuities.
B) n(pi over 2), where n is an integer
C) n(pi over 3), where n is an integer
D) n(three pi over five), where n is an integer
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Answer: D
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Cheers,
Stan H.
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