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For the introduction, It really needs to be a plan of the essay you're going to write and set out a clear plan for the examiner of the paragraphs you're going to write and your point of view throughout...

cos(2x) = 2cos²(x)-1 by the double angle formula.

Rearrange to give cos²(x) = (cos(2x)+1)/2

Integrating this gives sin(2x)/4 + 1/4x + c 

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Here we are examining the imaginary number ‘i’, defined as the square root (sqrt) of ‘-1’.We begin by using Euler’s identity:e^(iπ)+1=0e^(iπ)=-1Since sqrt(x) is the same as x^(1/2):(e^(iπ))^(...