Question 1208326: if z = [ r , theta ] , (z ^2 + (| z |)^2)/(z + | z |) = cos (theta)(1 + i tan (2/(theta))) , prove that r = 1
Answer by ikleyn(52903)   (Show Source):
You can put this solution on YOUR website! .
if z = [ r , theta ] , (z ^2 + (| z |)^2)/(z + | z |) = cos (theta)(1 + i tan (2/(theta))) , prove that r = 1
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In your post, the part tan(2/(theta)) ( which is  ) is absurdist.
There are no doubts that it is incorrect, while a correct version is tan(2*theta).
With this corrected/modified writing, see the solution produced by AI under this link solution .
Learn to write Math correctly.
Writing Math correctly means check, re-check, then double check and cross-check.
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