Posted by **Michael** on Wednesday, March 9, 2011 at 9:28am.

I need to state the period and 2 consecutive asymptotes on the graph for the following questions.

1: y = -3 tan pi*x

period: pi (?)

asymptotes: ?

2: y = 2 sec 4x

period: ?

asymptotes: ?

3: y = csc (x/3)

period: ?

asymptotes: ?

4: y = 3 cot (pi*x/2)

period: ?

asymptotes: ?

If possible, I'd love some explanation/clarification for the answers as well so I can understand it better... thanks!

- trig -
**Damon**, Wednesday, March 9, 2011 at 9:54am
1: y = -3 tan pi*x

period: pi (?)

asymptotes: ?

------------------------

Well, I will help with the first one. Then you better try to use a similar approach on the rest

y = -3 sin pi x/ cos pi x

this repeats when pi x = pi

or period = 1 pi

It gets undefined when cos pi x = 0

or pi x = pi/2 which is x = 1/2

then pi x = 3 pi/2 which is x = 3/2

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