本區搜索:
Yahoo!字典
打印

[M2] Request help for (another) locus question

Request help for (another) locus question

I'm not quite sure what to do with this question (as can see in my attempted working out).

I apologise, I'm not sure why I am unable to upload the attachment. The question is as follows:

Suppose that the complex number z lies on the unit circle and 0 ≤ arg(z) ≤ pi/2. Prove that 2arg(z+1)=arg(z)

I drew a diagram with a quarter of a unit circle in quadrant 1 with a moving point z, which I extended with a horizontal line 1 unit to the right. But from there, I'm not quite sure what to do next.

[ 本帖最後由 妙妙貓 於 2022-4-5 02:32 PM 編輯 ]
   

TOP

[隱藏]
I don't see any attachments. Could you please check and reattach?

TOP

重要聲明:小卒資訊論壇 是一個公開的學術交流及分享平台。 論壇內所有檔案及內容 都只可作學術交流之用,絕不能用商業用途。 所有會員均須對自己所發表的言論而引起的法律責任負責(包括上傳檔案或連結), 本壇並不擔保該等資料之準確性及可靠性,且概不會就因有關資料之任何不確或遺漏而引致之任何損失或 損害承擔任何責任(不論是否與侵權行為、訂立契約或其他方面有關 ) 。