Difficult complex geometry q (1 Viewer)

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I am pretty lost for ii for some reason visually the modulus looks like R but it cant be
 

Lith_30

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I would recommend finding the modulus and the argument separately.

For the modulus you would use pythag
Given that since OB is a tangent to the circle
Which is the modulus of D

Now to find the argument, we have to use the triangle COD which is a Isosceles triangle cause CO=CD as they are both the radius of the same circle.


Therefore the angle between line OD and the positive real axis would be cause it is complementary to

Hence the complex number represented by D would be
 

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