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# Complex Number and Hyperbolic Functions watch

1. I remember doing something similar for FP2 but that was a while ago now and I'm a little stuck with:

Find all the complex roots of

So far:

I have gotten up to

but I am unsure of how to get the other lot of roots except for the obvious.
2. If you expand and suchlike, you get ... from there, if you let , then:

Then it's just simultaneous equations.

Spoiler:
Show
Note that for all x, so
Spoiler:
Show
3. (Original post by nuodai)
If you expand and suchlike, you get ... from there, if you let , then:

Then it's just simultaneous equations.

Spoiler:
Show
Note that for all x, so
Spoiler:
Show
So checking I'm on the right lines:

Would this be the right answer?

Edit: I didn't notice the spoiler and have just noticed I missed out half of the solutions - will update in a minute when I worked it though with

Edit: updated
4. (Original post by The Muon)
So checking I'm on the right lines:

Would this be the right answer?
Well , not just ; when is even, , so is right; but when is odd, , so and so on.
5. Just updated my post.
6. (Original post by The Muon)
Just updated my post.
Looks about right to me Except the should still just be (unless is multiples of a half).
7. (Original post by nuodai)
Looks about right to me Except the should still just be (unless is multiples of a half).
Yeah, I just forgot to edit it out. I'd rep you if it wasn't for the stupid 28 day rule

And expect a couple more question in this thread - I have a few problems and I'm still rusty
8. Can you have a quick glance through this and point out my mistakes

Find all roots of:

My solution:

9. ln of a negative number causes a lot of problem.
10. (Original post by Simplicity)
ln of a negative number causes a lot of problem.
Cheers simp. I always knew you'd pull through and get my silly mistake at least once.

Is that you in your profile pic?
11. (Original post by The Muon)
Cheers simp. I always knew you'd pull through and get my silly mistake at least once.

Is that you in your profile pic?
Well, you can have ln of a negative number but you really need to write it in this form. but that has a ton of problems like having infinite amount of solutions.

Yes.
12. (Original post by The Muon)
Is that you in your profile pic?
How does one upload a profile picture if you don't mind me asking?
13. (Original post by DeanK22)
How does one upload a profile picture if you don't mind me asking?
You go to my account (top right) then click on the word images and profile pic is there.
14. (Original post by The Muon)
You go to my account (top right) then click on the word images and profile pic is there.
Aah - embarrassingly simple. Merci.

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