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Obviously, something can't come into being without a cause implies that if something comes into being, it must have a cause. This is known self-evidently to be true, if you deny this then you require proof Obviously since if all of space and time had a cause, then the cause cannot be...

/r/philosophy is ok, but it's not great I like /r/askphilosophy though since you can see the authority of the persons posting The thing about Islamic studies in the west is, that in secular institutions you learn about Islam, but in Islamic seminaries, you learn Islam But Charles Sturt has a...

No I haven't done philosophy in university You can learn quite a bit from just reading though Modern philosophy outside of analytic philosophy is quite terrible as far as I'm concerned though, so I'd suggest reading up on medieval philosophy and especially Ilm al-Kalam, which is a form of...

Ahh ok thank you :^D That put a lot off my mind

So which one is it?

A friend of mine told me that your ATAR goes away after 2 years and universities use your GPA/WAM instead as an "atar" cutoff I'm specifically talking about UWS Medicine, as a GWS student I only need 93.5, my atar is 98.4 If I continue 2015 at USYD Engineering and do well in UMAT, will UWS...

Re: HSC 2015 4U Marathon - Advanced Level My solution was: \cos^2 x + \cos^2 (2x) + \cos^2 (3x) = \frac{1}{2} (3 + \cos (2x) + \cos (4x) + \cos (6x)) = \frac{1}{2} (3 + \cos (4x) + 2\cos (2x) \cos (4x)) = 1 Which can be solved easily by re-arranging and taking cos(4x) common

Re: HSC 2015 4U Marathon - Advanced Level \\ $Solve the equation$ \ \cos^2(x) + \cos^2(2x) + \cos^2(3x) = 1

There are good videos on the nature of the situation:

Re: HSC 2015 4U Marathon Pretty much exactly the same as InteGrand's one

Re: HSC 2015 4U Marathon - Advanced Level Oh ok yea that's another solution then

Re: HSC 2015 4U Marathon - Advanced Level Oh well I meant any line that lies on the plane

Re: HSC 2015 4U Marathon - Advanced Level The angle alpha is variable remember! So we need to minimise the angle alpha, so R is only 1 point on the plane (rather than a circle on the plane p), the specific point that lies on the line on the plane p that has the smallest angle between it...

Re: HSC 2015 4U Marathon - Advanced Level The angle alpha is variable remember! So we need to minimise the angle alpha, so R is only 1 point on the plane (rather than a circle on the plane p), the specific point that lies on the line on the plane p that has the smallest angle between it and PQ

Re: HSC 2015 4U Marathon - Advanced Level \\ $Let$ \ P \ $be a point on the plane$ \ p \ $and$ Q \ $is a fixed point in space that does not lie on$ \ p \\ \\ $Find all points$ \ R \ $on the plane$ \ p \ $such that$ \\ \\ \frac{PR + PQ}{QR} \ $is a maximum$

Re: HSC 2015 4U Marathon \\ $Find the polynomial of lowest degree, with rational coefficients, that has the root$ \\ \\ x = \sqrt[3]{\frac{-1 + \sqrt{5}}{2}} - \sqrt[3]{\frac{1 + \sqrt{5}}{2}}

The crime rates of Australia have been decreasing since the introduction of new policing policies, which since the policies have started, the police have gained greater power and abilities. Therefore, the increase in police power has led to the decrease in crime.

- Study some theology - Study some philosophy - Join debating society - Study well for UMAT - Read books on all of the above - Have more healthier eating habits - Have more healthier sleeping habits - if I get P's before holidays end, join soccer team again

Re: HSC 2015 4U Marathon This forum has built-in LaTeX generator LaTeX is a code for doing math writing, on this forum if you put your LaTeX code in between [.tex] and [./tex] tags (NOT including the dots) You can look at this to get familiar with/copy paste the LaTeX code...

Re: HSC 2015 4U Marathon \\ \tan x - \sin x + \cos x = 1 \\ \\ \sin x \left(\frac{1}{\cos x} - 1 \right) = 1 - \cos x \\ \\ \frac{\sin x}{\cos x} (1 - \cos x) = 1 - \cos x \\ \\ \therefore \ $Solutions$ \ \cos x = 1 , \tan x = 1 \\ \therefore \ x = 2k\pi \ $and$ \ x = k\pi + \frac{\pi}{4} \...