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maths help complex number

I sketched the graph and plotting in numbers to get the answer correctly，are there better methods?
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(edited 2 years ago)
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mqb2766
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Original post by Hedwigeeeee
I sketched the graph and plotting in numbers to get the answer correctly，are there better methods?
Attachment not found

Can you try uploading again, the attachment isnt found.
Original post by mqb2766
Can you try uploading again, the attachment isnt found.


IMG_20210924_091500-compressed.jpg.jpegsorry in my phone is has been uploaded...i tried again and are u able to find it now?
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mqb2766
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Original post by Hedwigeeeee
IMG_20210924_091500-compressed.jpg.jpegsorry in my phone is has been uploaded...i tried again and are u able to find it now?

I think they wanted you to think about z in mod-arg form, so z^3 has the modulus cubed and the arg tripled. So its fairly easy to see
|z|>1
and by thinking about what happens when you triple the boundary of each quadrant (0-90, 90-180, ...) its easy to see z cant lie in the first quadrant if 360 > arg(z^3) > 315, but could lie in the 2nd, 3rd, 4th.

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