Express the following complex numbers in the form

Question

Philoid · Accepted Answer

Given complex number is

⇒

We know that i²=-1

⇒

We know that the polar form of a complex number Z=x + iy is given by Z=|Z|(cos θ+ i sin θ)

Where,

|Z|=modulus of complex number

θ = arg(z)=argument of complex number

Now for the given problem,

⇒

Since x<0,y<0 complex number lies in 3^rd quadrant and the value of θ will be as follows -180⁰≤θ≤-90⁰.

⇒

⇒ .

⇒

∴ The Polar form of is .