Question

Find argument of z = 1-i​

Answer 1

z = 1-i

x+iy = 1-i

x=1

y=-1

tan^-1 = |-1|

pi/4

pi-pi/4

argument is = 3pi/4

Answer 2

arguement of a complex number x + iy is given by

$arg \: = { \tan}^{ - 1} | \frac{y}{x} | \\ = {tan}^{ - 1} | \frac{ - 1}{1} | \\ = {tan}^{ - 1} (1) \\ = \frac{\pi}{4} \\ \\ since \: the \: number \: lies \: in \: the \: 4th \: quadrant \\ \\ arg \: = - \frac{\pi}{4}$

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