argument!

if z=-2/(1+i√3),arg(z) is-
1.pi
2.pi/3
3.2pi/3
4.pi/4

13 Answers

13
Двҥїяuρ now in medical c ·

3.2pi/3

1
JOHNCENA IS BACK ·

post the solution too

1
JOHNCENA IS BACK ·

wha!!!! i am getting -pi/3 donno where i am stuck.

13
Двҥїяuρ now in medical c ·

z=-1/2+√3i/2

so z in 2nd quadrant

tanθ=-√3

so arg(z)=2pi/3

13
Двҥїяuρ now in medical c ·

do not do tan-1-√3

check in which quadrant it is....

1
archana anand ·

answer is 2pi/3...confirm it frm some bhaiya...i may b wrong

1
Kalyan Pilla ·

z = -2/(1+i√3) = -2(1-i√3)/4
= -1/2 +i√3/2

So arg(z)= 2Ï€/3

13
Двҥїяuρ now in medical c ·

thanx for confirmation...Kalyan

1
Kalyan Pilla ·

cosθ = -1/2

sinθ =√3/2

So, θ =2π/3

Or U could even use the quadrant like abhi said.

It is basically ω, and ω=ei2π/3

1357
Manish Shankar ·

z=-2/(1+i√3)

arg(z)=arg(-2)-arg(1+i√3)
=Ï€-Ï€/3=2Ï€/3

13
Двҥїяuρ now in medical c ·

nice one bhaiya....forgot this property[3]

1
JOHNCENA IS BACK ·

oh,got the mistake instead of taking it in 2nd quad. took it in fourth.

1
Kalyan Pilla ·

Thanx Bhaiyya[1]

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