Q1 of 153 Page 14

Find the modulus and argument of the following complex numbers and hence express each of them in the polar form :

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|(cosθ+isinθ)


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 4th quadrant and the value of θ will be as follows -900≤θ≤00.


⇒


⇒ .


⇒


⇒


∴ The Polar form of is .


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