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Grade: 12th pass
        If w is a non real imaginary cube root of unity ,then find argument(iw)+arg(iw^2)
2 years ago

Answers : (1)

Arun
23487 Points
							
Dear Ved
ย 
arg(๐‘–๐œ”)+arg(๐‘–๐œ”2)=arg ๐‘’๐‘–๐œ‹/2.๐‘’2๐‘–๐œ‹/3+arg ๐‘’๐‘–๐œ‹/2.๐‘’4๐‘–๐œ‹/3
=arg ๐‘’7๐‘–๐œ‹/6+arg ๐‘’11๐‘–๐œ‹/6
=(7๐œ‹/6โˆ’2๐œ‹)+(11๐œ‹/6โˆ’2๐œ‹)
[as the argument should be in the principal range]
=3๐œ‹โˆ’4๐œ‹=โˆ’๐œ‹
ย 
Regards
Arun(askIITians forum expert)
2 years ago
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