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Solve the equation z^3=i |
Answer» <html><body><p></p>Solution :`<a href="https://interviewquestions.tuteehub.com/tag/z-750254" style="font-weight:bold;" target="_blank" title="Click to know more about Z">Z</a>^3=i=<a href="https://interviewquestions.tuteehub.com/tag/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</a>((3pi)/2)+<a href="https://interviewquestions.tuteehub.com/tag/isin-1052260" style="font-weight:bold;" target="_blank" title="Click to know more about ISIN">ISIN</a>((3pi)/2)`<br/>`=cos(2kpi+<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>/2)+isin (2kpi+pi/2)`<br/>`=cos(pi(4k+1))/2 +sin(pi(4k+1))/2`<br/>`:.z=[cos((4k+1))/2+isin((4k+1)pi)/2]^(1/3)<br/>`=cos((4k+1)pi)/<a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a>+isin((4k+1)pi)/6`<br/>`"where" k=0,1,2.`</body></html> | |