. I agree that it has no minimum or maximum value.

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- November 5th 2013, 06:06 PM #1
## Min and Max of Sec & Csc

"Find the equation for the min , max and the asymptotes for y = csc x"

I can manage finding the equation for the recurrence of the asymptotes, however when I check in my text book it says that csc x has no min or max values? I completely disagree. Am I right?

- November 5th 2013, 06:38 PM #2

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- November 5th 2013, 07:20 PM #3

- November 5th 2013, 07:48 PM #4

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## Re: Min and Max of Sec & Csc

Pl go through this site, it will clarify many doubts

Graphs of the Secant and Cosecant Functions

- November 5th 2013, 08:04 PM #5

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## Re: Min and Max of Sec & Csc

Suppose you claim is the maximum value for . Then, . Suppose you claim that is the maximum value for . Then, , so there is some value of so that . Then . This contradicts the assumption that is the maximum value for .

I can do the same thing with negative numbers. Suppose . Then and I can find a value for so that . Then, , so cannot be the minimum value for . This is true for any value of you choose.