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Edexcel A-level Further Maths (9FM0)

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Show that

Complex numbers and roots of unity

standard

either

The six roots of

z^6=64

are plotted on an Argand diagram. The roots

2e^{i\pi/3}

and

2e^{2i\pi/3}

are labelled

B

and

C

, and the origin is

O

Show that the area of triangle

OBC

\sqrt{3}

(4)

(Total for Question 1 is 4 marks)

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