Graphing Trig Identites...Help

[Germangal]

y= cot (x/3 - pie/2)

I started to find the endpoints but realized I messed up somewhere where, because when I went on to find the tick marks for the graph I had 2 tick marks as the same. If anyone can help that would be great.

 

[stapel]

I started to find the endpoints...

Are you supposed to be graphing this over some interval then, that you're looking for "endpoints"...?

I messed up somewhere where....If anyone can help that would be great.

I'm afraid we're going to need specifics, if we're going to help you find where you "messed up".

Thank you.

Eliz.

 

[Germangal]

It gives me a problem. A set of things I have to find, like the period, the endpoints, x-intercepts, asymptotes. Then it says: Sketch one period of the graph. The x-axis units should be some function or multiole of pie)

Sorry if thats not enough, thats all I have

 

[stapel]

It gives me a problem. A set of things I have to find, like the period, the endpoints, x-intercepts, asymptotes. Then it says: Sketch one period of the graph. The x-axis units should be some function or [multiple] of [pi])

Thank you. That gives us much more information than we'd had before.

You should have a formula for finding the period of a trig function, given its argument. Just plug into that.

The "endpoints" makes no sense in this context, since the function has vertical asymptotes and thus "goes to infinity". Perhaps they mean "list the endpoints of the interval over which you're going to graph"...? (Check your book for confirmation or correction.)

The x-intercepts are just where the function crosses the x-axis, where the function is zero. So set cot(x/3 - pi/2) equal to zero, and solve.

You know where cot(ß) is undefined, and thus where it has vertical asymptotes. Set these values equal to "x/3 - pi/2", and solve for the values of x.

Eliz.

 

[Germangal]

Thank you for your help