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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 trigonometric identi...

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 giv...

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 will b...

The important part of this question is to really understand what the cosine function looks like, many students will use their calculators to find arccos(0.6) = 53.13 degrees, but not find the other solutions...

Although strictly speaking you get no extra marks for writing out your mathematics clearly and logically, getting into the habit of doing so can help your work in a lot of ways: 1. You can read your work bac...