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Using de Moivre's theorem demonstrate that "sin6x+sin2x(16(sinx)^4-16(sinx)^2+3)"

Consider, (cosX+isinX) 6 using binomial expansion we find that this = "cos 6 X + 6icos 5 XsinX - 15cos 4 Xsin 2 X - 20icos 3 Xsin 3 X + 15cos 2 Xsin 4 X + 6icosXsin 5 X - sin 6 X". Next, by using d...
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Find h(x), for x≠0, x≠1, given that: h(x)+h(1/(1−x))=1−x−1/(1−x)

In order to do this question, we need to find some way of eliminating the h(1/(1−x)), so that we are left with h(x), thus solving it. One way to do this, is to set up simultaneous equations. We may need to s...
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Answered by Joss O. • STEP tutor
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Prove that 27(23^n)+17(10^2n)+22n is divisible by 11 for n belongs to the natural numbers

Proofs come in many shapes and sizes but this one is done via induction. When doing proof by induction, examiners love a list of a clear definite list of steps, the first being the base case, in this case it...
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Describe the differences and similarities between osmosis and diffusion (4 marks)

Similarities:neither require energyboth move particles from a high concentration to a low concentration area differences:Osmosis requires a partially permeable memberonly water moves by osmosis but liquids a...
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Answered by Brian W. • Biology tutor
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Differentiate y=x^2+4x+12

y=x^2+4x+12dy/dx=2x+4
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Answered by Robert H. • Maths tutor
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