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Letting z be the complex number cos x + i sin x, we will use the identities (z n + 1/z n ) = 2 cos nx and (z n - 1/z n ) = 2i sin nx. Both of these follow from De Moivre’s theorem and the odd and even proper...

Firstly, you would begin by defining what is meant by social deprivation. You would have to look at the Index of Multiple Deprivation and what factors that looks at - education, access to healthcare, infant ...

'Wann' is a question word and can only be used to start questions beginning with ' when ' or in indirect questions . For example, in the question ' Wann hast du Geburtstag?' (When is your birthday?) or the i...

I would suggest always working out what the time signature is (how many beats in a bar), whether the music is slow or fast, what style the music is in and the general dynamics in the extract. I would then th...

Hola James,Acabo de volver de mi verano en España y no puedo esperar a que te vea para decirte todo. Viví en Madrid, la capital, con una familia española que se llama García. Durante el día enseñaba inglés a...