if-arg-i-z-i-pi-4-find-RemZ-ImZ-

Question Number 146923 by mathdanisur last updated on 16/Jul/21

i f a r g (\frac{i - z}{i}) = \frac{π}{4}

f i n d R e m Z + I m Z = ?

Answered by gsk2684 last updated on 16/Jul/21

a r g (1 + i z) = \frac{π}{4}

a r g (1 + i (x + i y)) = \frac{π}{4}

a r g ((1 - y) + i x) = \frac{π}{4}

1 - y > 0, x > 0, 1 - y = x

t h e n R e z + I m z = x + y = 1

w h e r e 1 > y, x > 0

Commented by SLVR last updated on 16/Jul/21

g r e a t s i r

Commented by mathdanisur last updated on 16/Jul/21

t h a n k y o u S e r