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The complex number [tex]z[/tex] is given by

z = 1 + cos (theta) + i*sin (theta)

where -Pi < theta <= Pi

Show that for all values of theta, the point representing z in a Argrand Diagram is located on a circle. Find the centre and radius of the circle.

Note that i understand perhaps some of you don't understand the symbol i used above, hence i will explain it here :

smaller or equal to : <=

theta : an angle

Pi : a usefull constant in circle, i dont know how to define it.

i = square root of -1

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# Complex Number, hard to solve

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