Hey! Sign in to get help with your study questionsNew here? Join for free to post
 You are Here: Home >< Maths

# Fp3 Help

Announcements Posted on
Last day to win £100 of Amazon vouchers - don't miss out! Take our quick survey to enter 24-10-2016
1. https://2d31ca6ec4f6115572728c3a9168...%20Numbers.pdf

q1ii?

How am I supposed to draw it?
Like I don't know what 1+w is, if someone can explain how to work that out.

2. So
Use De Moivres Theorem such that

Then you just draw a nice spiral.
(Original post by Super199)
https://2d31ca6ec4f6115572728c3a9168...%20Numbers.pdf

q1ii?

How am I supposed to draw it?
Like I don't know what 1+w is, if someone can explain how to work that out.
3. (Original post by Cryptokyo)

So
Use De Moivres Theorem such that

Forget the n preceding the isin
Then you just draw a nice spiral.
What happens to the one after the De Moivre's bit?

4. So
Use De Moivres Theorem such that

(Original post by Super199)
What happens to the one after the De Moivre's bit?
5. is so good to use....
6. (Original post by Cryptokyo)

So
Use De Moivres Theorem such that
No I get that bit. Thats what part 1 was asking. The bit I don't understand is how you draw 1+w.
7. (Original post by Super199)
What happens to the one after the De Moivre's bit?
Yeah, dunno what the other user is doing... just think of them as vectors. So you move 1 unit along the real plane to the right and then tack on the vector w and move in that direction, for w^2 you just move from your previous position along the direction of w^2. You should dint that you end up at the origin again once you've drawn the one with w^4. (think back to roots of unity and how they form vertices of special geometric shapes)
8. (Original post by Zacken)
Yeah, dunno what the other user is doing... just think of them as vectors. So you move 1 unit along the real plane to the right and then tack on the vector w and move in that direction, for w^2 you just move from your previous position along the direction of w^2. You should dint that you end up at the origin again once you've drawn the one with w^4. (think back to roots of unity and how they form vertices of special geometric shapes)
How do you know that 1+w causes the point to move to the right of 1 and that 1+w+w^2 causes it to move to the left of 1+w? I'm looking at the ms atm. I don't quite get how you work out the direction
9. (Original post by Super199)
How do you know that 1+w causes the point to move to the right of 1 and that 1+w+w^2 causes it to move to the left of 1+w? I'm looking at the ms atm. I don't quite get how you work out the direction
Angle of 2pi/5, that's obviously to the right. Angle of 4pi/5 is obviously to the left, etc...
10. The points you need to point are:

Essentially you are plotting the behaviour of the sine and cosine functions as the angle varies. That is the idea they want and not exact plotting but here are the points anyway.
11. I think I am going crazy
12. (Original post by Zacken)
Angle of 2pi/5, that's obviously to the right. Angle of 4pi/5 is obviously to the left, etc...
Damn, yh got it cheers man.
Although how do you know the last one has to go to the origin?
13. (Original post by Cryptokyo)
Then you just draw a nice spiral.
It's not a spiral, it's a polygon.

Write a reply…

Submit reply

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
that username has been taken, please choose another Forgotten your password?
2. this can't be left blank
this email is already registered. Forgotten your password?
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
your full birthday is required
1. Oops, you need to agree to our Ts&Cs to register
2. Slide to join now Processing…

Updated: June 2, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.