FP2 Jan 07 AQA Q7 for anyone interested!
Right, I have (cosx+isinx)n=cosnx+isinnx
I assume n=k and it works for n=1.
The problem is I cant make the sides equal for n=k+1
So far I have...
(Cosx+isinx)k+1
=(coskx+isinkx)(cosx+isinx)
Which is correct in the mark scheme, then you multiply out and the final answer must be cos(k+1)x+isin(k+1)x.
My problem is when multiplying out, how do I make this work.
Does coskxisinx+isinkxcosx cancel out somehow or equal zero somehow? So confused!
Thank you![]()
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ChappersBC
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- 23-03-2011 19:26
Last edited by ChappersBC; 23-03-2011 at 19:31. -
Clarity Incognito
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- 23-03-2011 19:31
(Original post by ChappersBC)
FP2 Jan 07 AQA Q7 for anyone interested!
Right, I have (cosx+isinx)n=cosnx+isinnx
I assume n=k and it works for n=1.
The problem is I cant make the sides equal for n=k+1
So far I have...
(Cosx+isinx)k+1
=(coskx+isinkx)(cosx+isinx)
Which is correct in the mark scheme, then you multiply out and the final answer must be cos(k+1)x+isin(k+1)x.
My problem is when multiplying out, how do I make this work.
Does coskxisinx+isinkxcosx cancel out somehow or equal zero somehow? So confused!
Thank you -
ChappersBC
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- 23-03-2011 19:46
(Original post by Clarity Incognito)
Think of your addition formulae.
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