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how can i approach it?

5. The variable complex number Z is given by

z=2cos x + i(1-2sinx)

where x takes all values in the interval -Л < x ≤ Л

(1) show that |z-i|=2, for all values of x. Hence sketch, in an Argand diagram, the locus of the point representing z.

(2) prove that the real part of 1/(z+2-i)

is constant for -Л < x < Л