Question

Period for cot4x? Is it pi/4?

Answer 1

If I remember correctly, the period of a trig function is equal to 2pi/frequency, which in this case would be:
\[T=2\pi / 4 = \pi/2\]

Answer 2

But the normal frequency of cot is pi, isn't it?

Answer 3

Yes, you're right, I'm sorry, I was thinking about sine and cosine. Yes, it would be pi/4.

Answer 4

Now take a look at the graph of cot(4x)
The lines, they cross at pi/8 and pi/16, no?

Answer 5

They don't cross through pi/4.

Answer 6

There are vertical asymptotes, and the distance between them is the equal to the period. I graphed it, and it looks like the asymptotes are pi/4 apart.

Answer 7

OH
I thought that pi/4 was where they intersected the graph!

Answer 8

Period of cot 4x is pi/4