1a2 marks
A complex number has modulus 1 and argument .
(a)
Show that
1b5 marks
(b)
Hence, show that
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A complex number has modulus 1 and argument .
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The infinite series C and S are defined by
Given that the series C and S are both convergent,
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In an Argand diagram, the points , and are the vertices of an equilateral triangle with its centre at the origin. The point represents the complex number .
The points , and are the midpoints of the sides of triangle .
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