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For this example it would be better to use a dummy variable (a variable just to help with solving the equation but isn't a part of the final answer). Let us say our dummy variable, t = 1+x^2. So, substitu...

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 ...

1. Alveoli in the mammalian lung are thin walled to allow the quick passage of gases, for example oxygen and carbon dioxide.

2. Alveoli in the mammalian lung have a large surface are...

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...

Dylan Thomas’s poem is concerned with the rush of emotions his speaker encounters upon the realisation of his father’s imminent death. Indeed, it is from this liminal space – between life and death – that...