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To answer this question we must understand the representation of the unit circle firstly in real coordinates and secondly in the complex plane. The unit circle is just the drawing of a circle of radius 1 ...

This is a common question in C4 and the trick used to solve it is often used in sub-sections to full questions.

To solve it, we must simplify the expression in terms of cos(2x) using two trigonomet...

First we draw a picture, to visually see what the question is asking. A simple set of coordinate-axes and notches so we can accurately put our point P and Q, though being accurate isn't important it will ...

Golden rule: Do the Same thing to both sides of the equation Approach in 4 steps 1) Multiply out any brackets 2) Gather the like terms (Use analogy of apples and oranges) 3) Get all unknown terms to one s...

As there are 2 x terms in the integral we will use integration by parts. Remember;  ∫u*(dv/dx)dx =  uv -  ∫v*(du/dx)dx (found by integrating the product rule). From xcos(x) we need to decide which x term ...