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From reading the question, we need to use the addition formula for sin(A+B)= sinAcosB+cosAsinB. So we need to think what are two common values for sine and cosine that we know and have exact answers for t...

Equation of a circle  ->  (x-a)² + (y-b)^2 = r²     where the centre = (a,b) and the radius = r

Thus using the equation above we can conclude that the centre is (2,-5)

The objective of the question is to find an answer to x = ?, where ? is a number.

Start by 'moving' all the x's to one side of the equals sign and all the numbers to the other. This can be done by ...

Firstly, expand out the first bracket -    4x - 8 - 2(3 - 5x)    
Then the second bracket (remember a minus x a minus = a positive) -     4x - 8 - 6 + 10x

Then finally group the like terms to...

This question might look hard but can be easily answered by breaking it down into steps and remembering a few key things. The first step is to recognise that the question is mentioning a stationary point ...