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Q.

Imaginary part of 3-i2016+-3-i2019is

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a

-22019

b

22016

c

22019

d

-22016

answer is C.

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Detailed Solution

3-i2016+-3-i2019

  2201632-i22016-22019 32+i22019

  22016cosπ6-i sinπ62016-22019cosπ6+i sinπ62019

  22016cos 1008π3-i sin 1008π3-22018cos 2019π6+i sin 2019π6

  22016cos 336 π-i sin 336 π-22019cos336π+3π6+i sin336π+3π6

 =22016  1-i(0)-22019   cosπ2+i sinπ2 =22016-22019  i

Imaginary part =-22019

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