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By expressing cos(2x) in terms of cos(x) find the exact value of the integral of cos(2x)/cos^2(x) between the bounds pi/4 and pi/3.

cos(2x)=cos 2 (x)-sin 2 (x)=2cos 2 (x)-1 Therefore:cos(2x)/cos 2 (x)=(2cos 2 (x)-1)/cos 2 (x)=2cos 2 (x)/cos 2 (x) - 1/cos 2 (x)=2 - 1/cos 2 (x)=2 - sec 2 (x) Integral of sec 2 (x) = tan(x) Integral of 2 = 2...
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Answered by Hugo F. • Maths tutor
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Evaluate the usefulness of Source C as evidence of the subjugation of the Scots by Edward I in 1296. (6 marks).

Source C is an extract from the Chronicle of Walter of Guisborough. This makes the source useful, as chronicles were generally factually based accounts of historical events in chronological order, which coul...
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Answered by Megan R. • History tutor
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What is the basic Economic problem, and how does Economics as a discipline approach this?

The basic economic problem is usually defined as there being a situation of scarce resources but an unlimited or infinite number of wants and demands for these resources. Economics as a discipline seeks to a...
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How do I write a personal statement?

A personal statement is an opportunity to illustrate your personality and skills to the universities you are applying to. Essentially the main question that you are answering here is “Why should we (the univ...
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How did you go about revising for the UKCAT?

We are often told that the UKCAT is not something you can necessarily revise for. This is partly true but it always helps to do as many practise questions as possible to help familiarise yourself with the la...
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Answered by Amisha G. • UCAT tutor
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