SOLUTION: Write the complex number in polar form with argument θ between 0 and 2π. (Express θ in radians.) −πi?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Write the complex number in polar form with argument θ between 0 and 2π. (Express θ in radians.) −πi?      Log On


   



Question 967558: Write the complex number in polar form with argument θ between 0 and 2π. (Express θ in radians.)
−πi?

Answer by ikleyn(52769) About Me  (Show Source):
You can put this solution on YOUR website!

-pi%2Ai = pi.%28cos%283%2Api%2F2%29+%2B+i%2Asin%283%2Api%2F2%29%29.

The modulus of your complex number  -pi%2Ai  is  pi = 3.14... .

The argument of your complex number is  %283%2Api%29%2F2%29   (which is 270°).

You may want to look into my lessons on complex numbers in this site

    - Complex numbers and arithmetic operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number
    - Solution of the quadratic equation with real coefficients on complex domain
    - How to take a square root of a complex number
    - Solution of the quadratic equation with complex coefficients on complex domain