Q7 · 2024 · Technology-activeSimple familiar1 mark
QUESTION 7
Determine the number of roots of that can be expressed in the form , where .
(A)
0
(B)
1
(C)
2
(D)
3
WORKED SOLUTION
1 markAnswer B
ANSWER
B
Worked solution
The eighth roots of unity have arguments for . Both real and imaginary parts are strictly positive only for the root at angle . Hence there is exactly one.
Selects option B.
Worked explanation by QCE Vault; correct option verified against the QCAA answer key.
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