Search over 10,000 free study notes

Water has strong intermolecular hydrogen bonds that hold the water molecules close together, making it very dense. As water freezes, the hydrogen bonds move further apart as it forms a hexagonal lattice. Thi...

The general equation of a circle takes the form (x - A)^2 + (y - B)^2 = r^2 where (A,B) is the centre of the circle with radius r. Thus, we aim to rearrange the equation in the question to match this form. S...

Use the cosine trig identity, cos(a-b)=cos(a)cos(b)+sin(a)sin(b) ,to write Rcos(x-a) as R(cos(x)cos(a)+sin(x)sin(a)).Now we can equate the coefficients of the sines and cosins on either side of the equation ...

When we work with circles, one of the most popular things to pop up is pi. We know that for any circle the circumference divided by the radius gives pi, without failure always. Pi is a number that’s been fou...

Breathe.Try not to panic. While it may seem unfamiliar, Oxbridge interviewers aren’t looking to trick you in any way, and instead want to see how you apply what you know to new situations. There’s no pressur...