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AQA FP2 help!

Hey guys,
Does 1/i equal -i?
If so why?
Original post by BigBadJFly
Hey guys,
Does 1/i equal -i?
If so why?


You know that in=in+4i^n = i^{n+4} right? If not, it can easily be proved by basic power rules or induction.

It should be easy from there :smile:.
Reply 2
Original post by BigBadJFly
Hey guys,
Does 1/i equal -i?
If so why?


Here you go mate and yeah 1/i equals to -i
Reply 3
Thanks! :biggrin:
Reply 4
Original post by BigBadJFly
Thanks! :biggrin:


No prob. What grade does that come under at Further Maths ?
Reply 5
Original post by Arithmeticae
You know that in=in+4i^n = i^{n+4} right? If not, it can easily be proved by basic power rules or induction.

It should be easy from there :smile:.


How does that even help OP's question?
Original post by JAIYEKO
How does that even help OP's question?
Unparseable latex formula:

\begin{aligned} i^n &= i^{n+4} \\ \implies i^{-1} &= i^3 \\ &= i^2 \cdot i \\ &= -i

.

That OK brah?
(edited 9 years ago)
Reply 7
Original post by Arithmeticae
Unparseable latex formula:

\begin{aligned} i^n &= i^{n+4} \\ \implies i^{-1} &= i^3 \\ &= i^2 \cdot i \\ &= -i

.


Nice mate how did you get that don't btw?
Original post by JAIYEKO
Nice mate how did you get that don't btw?


What are you talking about? What "don't"? :confused:
Reply 9
Original post by Arithmeticae
What are you talking about? What "don't"? :confused:


I meant to say, how did you get that font for your workings out mate? And does my method work well?
Original post by JAIYEKO
I meant to say, how did you get that font for your workings out mate? And does my method work well?


It's called LaTeX\LaTeX.

It's fine, I prefer the other way, but it'll do.

Alternatively, you could consider a rotation in the complex plane (multiplying by i produces 90° rotation anticlockwise which implies a division by i gives a 90° clockwise rotation.)

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Reply 11
Original post by JAIYEKO
No prob. What grade does that come under at Further Maths ?


I needed it in the june 06 FP2 paper :smile:
Reply 12
Original post by BigBadJFly
I needed it in the june 06 FP2 paper :smile:

Yeah I know I mean in terms of complexity how hard is it in FM terms?
A*,A,B,C,D?
Reply 13
Original post by JAIYEKO
Yeah I know I mean in terms of complexity how hard is it in FM terms?
A*,A,B,C,D?


errr... I dunno, maybe A, was only worth 1 mark.

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