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Need Answers from Random Textbook (2 Viewers)

Dreamerish*~

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香港! said:
^ I agree with "word."!!
hehe
Nice hand writing Dreamerish
ZOMG. :eek:

Hear that, Insert_Username? Our efforts were wasted!

Thank you and Trev for the handwriting comments. :p
 

香港!

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Dreamerish*~ said:
ZOMG. :eek:

Hear that, Insert_Username? Our efforts were wasted!

Thank you and Trev for the handwriting comments. :p
hahaha, I actually had a go as well:(
But I realised it was weird so I stopped LoL
 

piyo_extreme

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errr...sory guyzz but the question does not have any bracket at the bottom, only at the top!! hmm and i think we can prove n = 0 because the question says for all integral n, n≥0

but i dunno i'm so confused !!! do you sub x = 0 or x = 1 ?
 

.ben

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hey ppl what about this for the induction:

sin2θ=2sinθcosθ

half angle thing

sin(2^k+1)θ=(2^k+1)x{sin[(2^k+1)/2)]θ}x{cos[(2^k+1)/2)]θ}

then sub back into the eqn.
 
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insert-username

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That's a nice expansion .ben, but I think the (2^k+1) is actually 2^(k+1), like word. said, which expands out into 2^k.2^1, I think.

Ah well. We tried, Dreamerish. at least we can say that. Thanks for pointing that out, word.


I_F
 

gman03

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.ben said:
hey ppl what about this for the induction:

sin2θ=2sinθcosθ

half angle thing

sin(2^k+1)θ=(2^k+1)x{sin[(2^k+1)/2)]θ}x{cos[(2^k+1)/2)]θ}

then sub back into the eqn.
Should be just

sin(2^k+1)θ=2 x {sin[(2^k+1)/2)]θ}x{cos[(2^k+1)/2)]θ}
 

fantasy27

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Dreamerish*~

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fantasy27 said:
Dreamerish, i scanned the first question page up, to make sure we're on the right sort of revision exercises, here it is

http://img.photobucket.com/albums/v429/X_wildberry_X/Pict0002.jpg

if these are the questions, then i'll scan in the answer pages

also, i took a try at the induction question with 2^(n+1), and hopefully i've proved it right, im sorry if i did it wrong!

here it is,

http://img.photobucket.com/albums/v429/X_wildberry_X/Pict0001.jpg
Yes! That's it. :)

You can skip questions 54 to 192 because I marked those at school. Thank you so much! :)
 

fantasy27

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... said:
beware

some of the answers are wrong, not all, but small number..
i've got the 1995 edition, lol, its a bit outdated, we never actually used this textbook at school, our teacher gave us each a copy of this textbook, but we worked from 'Maths in Focus'
 

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ah, ok

we used this book as text through out the whole prelim and hsc year, wasn't too bad. But there were mistakes at the back, so people always double checked
 

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