# Write (i25)3 in polar form.

Given Complex number is Z = (i25)3

Z = i75

Z = i74.i

Z = (i2)37.i

We know that i2 = - 1

Z = ( - 1)37.i

Z = ( - 1).i

Z = - i

Z = 0 - i

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,   |z| = 1 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 Z = (i25)3 is .

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Polar & Euler Form of Complex Numbers on Argand Plane32 mins  Interactive Quiz Time - Polar & Euler Form of complex number58 mins  Practice session | Argument of complex numbers61 mins  Modulus & Conjugate of Complex Number | Ready for a Quiz?48 mins  Questions on Modulus & Conjugate of Complex Number62 mins  Special Quiz on Argument of complex numbers56 mins  Polar & Euler Form of Complex Number on Argand Plane58 mins  Interactive Quiz on Quadratic Equations73 mins  Questions Based on Polar & Euler Form of Complex Number63 mins  Interactive Quiz on Quadratic Equations-0252 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 