## anonymous 3 years ago What is the period of f(x) = - tan 4x?

1. ash2326

@Pssssst Do you know the period of tan x?

2. anonymous

No, I do not.

3. ash2326

Ok, do you know what does period mean ?

4. ash2326

For a function

5. anonymous

Honestly, no.

6. ash2326

OK, I'll explain :)

7. anonymous

Thank you, and sorry haha. :)

8. ash2326

Let a function be f(x), T is it's period if $f(x+T)=f(x)$ it'll also hold for integral multiples of T $f(x+nT)=f(x)$ n=1, 2, 3,4, 0, -1, -2

9. ash2326

If you look at the graph of tan x, it's period is $$2\pi$$

10. ash2326

Do you get this?

11. anonymous

Alright. I'm following.

12. ash2326

Now if we have tan 2x, it's period will be $$\frac{2\pi}{2}$$ can you tell me, what will be the period of tan 4x ?

13. ash2326

@Pssssst ??

14. anonymous

I'm sorry, I had to do something. hah

15. anonymous

4x/2

16. anonymous

17. ash2326

Read carefully at my posts again :)

18. anonymous

The period of tan 2x is 2(pi)/2? or 2x/2? It's hard to read it on my computer