Question

$z = - 1 - \sqrt{3} i$
solve it !!!


11th mathematics


don't spam!!​

Answer 1

Answer:

checkout this attachment ❤

hope it helps!!

Answer 2

Answer:

Answer:

The polar form is (2,π3). The trigonometric form is z=2(cos(π3)+isin(π3))

Step-by-step explanation:

The polar form is r=f(θ)

z=cosθ+isinθ

The modulus of z is

|z|=∣∣1+√3i∣∣=√1+(√3)2=√4=2

r=z|z|=(2)(12+√32i)

So,

cosθ=12 and sinθ=√32

Therefore,

θ=π3 mod2π

So,

The polar form is (2,π3)

The trigonometric form is z=2(cos(π3)+isin(π3))

graph{((x-1)^2+(y-sqrt3)^2-0.001)=0 [-1.313, 4.163, -0.42, 2.316]}