#1
For some reason I'm doubting the correctness of this, considering the redundancy in my homework, but cos(2*theta) = sin(2*theta) when theta is equal to pi/8 + pi(n), correct?
Schecter Loomis
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haha
This is the funniest thing i've ever read on UG.
lespaulrocks39, you sir are awesome.
Last edited by lespaulrocks39 at Nov 9, 2007,
#2
...?
why is this in the electric guitar forum? haha

should move it to the pit soon before you get reported...
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#4
Lol, I "thought" I posted this in the pit, but I can't figure out how to move the thread...

But it is cos2* and sin2* fyi...
Schecter Loomis
LTD Horizon
Ibanez RGA121
Marshall DSL100
Peavey 5150

Quote by emagdnimasisiht
haha
This is the funniest thing i've ever read on UG.
lespaulrocks39, you sir are awesome.
#5
moved.
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#7
My brain hurts after reading that. I try to avoid maths where possible. Maths at 2.30 am is not a good thing.
#8
Quote by lespaulrocks39
For some reason I'm doubting the correctness of this, considering the redundancy in my homework, but cos(2*theta) = sin(2*theta) when theta is equal to pi/8 + pi(n), correct?


If cos squared theta = sin squared theta then theta= pi(n) plus or minus pi/4.

cos^2 theta - sin^2 theta = 0
1 - sin^2 theta - sin^2 theta = 0
2sin^2 theta = 1
sin theta = (+)(-) 1/(sqrt 2)
theta = 45, 135, etc.
=180n (+)(-) 45
=pi(n) (+)(-) pi/4

Edit: v Oops, sorry. Well I don't really have any idea how to do the other one.
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Last edited by Yamiyo at Nov 9, 2007,
#9
It's actually cos(2 TIMES theta) NOT SQUARED, hence the lack of a carat symbol.

Upon looking at it again, it is correct, because for cos(theta) = sin(theta), it would have to be pi/4 + pi(n), so for cos(2*theta) = sin(2*theta), it would need to be pi/8 + pi(n).
Schecter Loomis
LTD Horizon
Ibanez RGA121
Marshall DSL100
Peavey 5150

Quote by emagdnimasisiht
haha
This is the funniest thing i've ever read on UG.
lespaulrocks39, you sir are awesome.
#10
Quote by gen0doom
My brain hurts after reading that. I try to avoid maths where possible. Maths at 2.30 am is not a good thing.


Maths at any time is not a good thing!!

English Extension 2 FTW!!
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#11
I found some code that does what you are asking (I think)...

printf("cos(2*theta) = %f, sin(2 * theta) = %f\n", cos(2*theta), sin(2*theta));

Course, it's been some 12 years since I touched that so take it for what it is worth.

Chris