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impossible maths questions (3 Viewers)

harism

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omg.
OH YEA!
date shall be changed. OH DEF :p
 

supermike

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jeez five pages of posts for sth like this???? time for some serious self reflection guys, be ashamed of urselfs...
 

tommykins

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prove cos^2 @+ sin^2 @ = 1

lawl. you can't use that proof aye
 

pman

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Question 1 =3
question 2 = a big white stain
question 3=4 or 5, depending on the situatuion
 

ninetypercent

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prove cos^2 @+ sin^2 @ = 1

lawl. you can't use that proof aye
Let the side of a triangle be r and p. the hypotenuse is therefore, root r^2 + p^2

cos x = r/ (root r^2 + p^2)
sin x = p/ (root r^2 + p^2)

cos^2x + sin^2x = r^2/(r^2 + p^2) + p^2/(r^2 + p^2)

therefore, cos^2x + sin^2x = 1
 

untouchablecuz

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Let the side of a triangle be r and p. the hypotenuse is therefore, root r^2 + p^2

cos x = r/ (root r^2 + p^2)
sin x = p/ (root r^2 + p^2)

cos^2x + sin^2x = r^2/(r^2 + p^2) + p^2/(r^2 + p^2)

therefore, cos^2x + sin^2x = 1
prove pythagorus' theorum :p
 

untouchablecuz

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prove that this will go on and on. (induction preferred XD)
related theorum: nothing can be proved indefinately

s(n): this will continue on n times

A. Consider s(1). This has to this point continued on 1 time. Hence s(1) true.

B. Assume s(k) true. That is, this has continued on k times.

Consider s(k+1). It already continue on k times (induction assumption), and since nothing can be proven indefinately, it will have to continue on for at least one more time. Hence this will continue on k+1 times.

C. It follows from parts A and B, by induction, that s(n) is true.
 

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