## Question

###### Compute the imaginary part of (-4+41). waweare,

Compute the imaginary part of (-4+41). waweare,

## Answers

If any doubt please commentand / 412 Solution We have to find the imagenary part of f4+4i)? Firstly, we comment - 4+41 to polar form. For a complex number at bi, polar form is geven by - s (cos($+i87(0)), where - Ja²+62 0 = arc tan lan We have a=4, b=4 Thus, (4)2+(4.)? J 16+1€ Q = arcten () Therefore, -4+41 = 4.12 (as (4) +i's(12] According to the. De-Ma'rse's formule g [Coscoltisinco (0)])" gn [cos (no) ti sminos] [418 Cas(95) + ist (*)]= (415)° [cas (743) +ism ( 78631"}] also, + x 3 T 4 So, - -- 131072 131 o7a = Therefore, 64 +41)? -131072 – 1310781) Therefore, imaginary part is - 13 1072 Ang.

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