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AP EAMCET202315 May 2023Evening ShiftMathematicsComplex NumberActual

One of the 15^ th roots of -1 is

Options

  1. Acis 0
  2. Bcis 14 15
  3. Ccis 13 15
  4. Dcis 8 15

Correct answer

C. cis 13 15

Step-by-step solution

aligned & Since (-1)^ 1 / 15 =(- 2 +i 2 )^ 1 / 15 & = (- 2 15 +i 2 15 )= ( 13 15 )+i ( 13 15 ) & = cis ( 13 15 ) aligned

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