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?
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Quote by emagdnimasisiht
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,
...?
why is this in the electric guitar forum? haha

should move it to the pit soon before you get reported...
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Are those cos^2 and sin^2 or 2*cos, 2*sin?
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
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Marshall DSL100
Peavey 5150

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