Homework Statement
Prove that cos(\frac{\theta}{2}) = \pm\sqrt{\frac{1+cos\theta}{2}} using the unit circle.
Homework Equations
The Attempt at a Solution
I'm not sure if it's possible for you to provide a clear graph on here for the solution but a link would also be nice :)
I personally believe the 'Big Bang' was more of a little 'poof' of matter that came into existence. I also believe that in the first few billionths of a second of this our universe, it was in a liquid state because of the high pressure and heat that resulted from compacting all of our...
This reminds me of a topic on the fourth spatial dimension, and I think just as the second dimension operates on a third dimensional sphere, our third dimension might operate on a fourth dimensional hypersphere (the balloon). So, if we were in the second dimension, and we went all the way...
What causes the local group to move? I mean, in a galaxy there's a black hole in the center that causes the stars to orbit around it, but in a cluster of galaxies, is there anything that can cause them to move so fast?