Radians, dude, not degrees.Rand-m said:Call me crazy, but unless my calculator shat itself, cos(pi) does not equal -1, and Sin^2(pi) does not equal 0.
Radians, dude, not degrees.Rand-m said:Call me crazy, but unless my calculator shat itself, cos(pi) does not equal -1, and Sin^2(pi) does not equal 0.
I feel your idea is mislead.Jamface said:I hate whoever decided infinite 0.9 = 1. By that logic you could say that every number is the same.ansem1532 said:Lets not start this again.
Almost as bad as the infamous 0.9 repeating = 1 thread.
And this is why I will fail my math exam terribly. Thanks for the reminder that I should get back to studying.benylor said:Radians, dude, not degrees.Rand-m said:Call me crazy, but unless my calculator shat itself, cos(pi) does not equal -1, and Sin^2(pi) does not equal 0.
But based on the first equation, Y would equal X - 1...Asturiel said:X=Y+1
Y=X+1
ah yesansem1532 said:Lets not start this again.
Almost as bad as the infamous 0.9 repeating = 1 thread.
cos x = (1-sin[sup]2[/sup]x)[sup]1/2[/sup] Right here my good friend!blackshark121 said:First off, this particular proof is search bar approved, and does not contain division by zero.
cos[sup]2[/sup]x=1-sin[sup]2[/sup]x.........................Given
cos x = (1-sin[sup]2[/sup]x)[sup]1/2[/sup]................Square root each side.
1+ cos x = (1-sin[sup]2[/sup]x)[sup]1/2[/sup] + 1....Add one to each side
1 - 1 = (1-0)[sup]1/2[/sup] + 1..................Evaluate at x = pi (3.14159...)
0 = 1 + 1
0 = 2
So where is the error?
EDIT: I probably should expand, I am trying to find the error, I am not posing this as trivia.
This is the correct explanation. Keep in mind whenever taking a square root you get that pesky +/- out front, which means the correct solution uses either the positive or negative of the numerical value of the square root, not necessarily both.Asinine said:Sorry to spoil your fun, but
(1-(sin(pi))^2)^1/2 = 1 or -1 (the same goes for the root of any other number)
therefore the resultant equation may also be
1-1 = -1 + 1
which is simplified into 0 = 0.
now that makes more sense
You can't root cos[sup]2[/sup]x by just removing the square of cos, since you're treating sin[sup]2[/sup]x as one element.blackshark121 said:First off, this particular proof is search bar approved, and does not contain division by zero.
cos[sup]2[/sup]x=1-sin[sup]2[/sup]x.........................Given
cos x = (1-sin[sup]2[/sup]x)[sup]1/2[/sup]................Square root each side.
1+ cos x = (1-sin[sup]2[/sup]x)[sup]1/2[/sup] + 1....Add one to each side
1 - 1 = (1-0)[sup]1/2[/sup] + 1..................Evaluate at x = pi (3.14159...)
0 = 1 + 1
0 = 2
So where is the error?
Of course you can. You can make math say all kind of bollocks if you use contradicting equations. (That was so painfully obvious even I got it.)Asturiel said:You can get numbers to say anything if you do it right. For example.
X=Y+1
Y=X+1
X=5
Where did your sin[sup]2[/sup]x go?blackshark121 said:First off, this particular proof is search bar approved, and does not contain division by zero.
cos[sup]2[/sup]x=1-sin[sup]2[/sup]x.........................Given
cos x = (1-sin[sup]2[/sup]x)[sup]1/2[/sup]................Square root each side.
1+ cos x = (1-sin[sup]2[/sup]x)[sup]1/2[/sup] + 1....Add one to each side
1 - 1 = (1-0)[sup]1/2[/sup] + 1..................Evaluate at x = pi (3.14159...)
0 = 1 + 1
0 = 2
So where is the error?
EDIT: I probably should expand, I am trying to find the error, I am not posing this as trivia.
How do you justify these two?Asturiel said:You can get numbers to say anything if you do it right. For example.
X=Y+1
Y=X+1
X=5
In order to solve for Y use Y=X+1
Y=5+1
=6
But isnt X 5? Lets test that.
X=Y+1
5=6+1
5=7 Wadya know Im a math genius! 5=7 people!
Depending on your notation cos^2(x) and (cosx)^2 are the samegim73 said:Okay, here is your problem. Cos^2(x) =/= (Cosx)^2. What you were doing was saying EXACTLTY that. You pretty much made a fallacy like saying cos(x) + cos (x) = cos (2x).
Those equations cant work together.Asturiel said:You can get numbers to say anything if you do it right. For example.
X=Y+1
Y=X+1