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amaths, ...can anyone help me?
bonluvdan
post Sep 9 2005, 09:53 AM
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i'm calculation (actually proving) an amaths question.
when it nearly comes to the end, i dunno how to do, so i looked at the answer.

and my question is,

how can

[sin2kθ (1-2sin^2(i mean square here)θ ) +sin2θcos2kθ ] / 2sinθ

change into

[sin(2k+2)θ ] / 2sinθ

?



i would be grateful if someone can tell me how this can be converted.
thanks


edit//
well...er....i'm in grade 11(form 5) now. yeah. jus to let u know...
 
*xcaitlinx*
post Sep 9 2005, 02:12 PM
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woahh..that looks liek complete gibberish to me! well i certainly don't know how to do that...maybe it's because im only a freshmen.
 
silver-rain
post Sep 9 2005, 10:09 PM
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Ahhh trig and trig identities... I'm working on it now...

I'll edit this when I figure it out.
 
bonluvdan
post Sep 12 2005, 07:02 AM
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urgh!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!



well... anyone?


please?
 
bonluvdan
post Sep 22 2005, 06:38 AM
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ok, i think i can finally know y now!!!!!!! = =" no one reply me cry.gif
ermm.gif (finally, figured this out. so hapi) if you wan to know how, c the following


as cos2θ=(1-2sin^2 θ)

so
[sin2kθ (1-2sin^2 θ ) +sin2θcos2kθ ] / 2sinθ
=[sin2kθcos2θ+sin2θcos2kθ ] / 2sinθ

according to the
Compound Angle Formula
sin(A+B)=sinAcosB+cosAsinB


so
[sin2kθcos2θ+sin2θcos2kθ ] / 2sinθ
= sin(2kθ+2θ)/2sinθ
= sin(2k+2)θ/2sinθ
= answer

biggrin.gif
 
*mzkandi*
post Sep 24 2005, 02:04 PM
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Ok, this question was asked way back on Sept. 9, so I will close this.
 

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