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De Moivre's theorem states that e^ix= cos(x) + isin(x) or that e^i5x= cos(5x)+ isin(5x). If the real components of both sides of this equation is taken we can see that : cos(5x) = Re[e...

This is an actual question from an EdExcel C3 paper worth 4 marks. Ok so first thing we do is look at the function and try and determine which of our 3 differentiation rules we use. Is it a Product / Quot...

Completing the square is one of the 3 common ways to solve a quadratric equation (other two being factorising and using the quadratic formula).Using completing the square method, you manipulate the first ...

To solve the inequality all x terms must be move to one side and all non x terms to the other. First the brackets must be expanded to give 5x+10 > 7x+9. Then 9 is subtracted from both sides to give 5x+...

The point of solving simultaneous equations is to find the points at which the two equations intersect. In this case, it is clear to see that the first one is a circle with radius 5, centre (0,0) and the ...