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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...

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 equati...

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 ...

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 pres...

Optical isomers are a form of stereoisomers which are chemical species with the same structural formula, but have a different arrangement of atoms in 3-dimensional space. Optical isomers are characterised...