SOLUTION: Find polar representation of z= cosa-i.sina ,a€[0,2π).

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find polar representation of z= cosa-i.sina ,a€[0,2π).      Log On


   



Question 1121442: Find polar representation of
z= cosa-i.sina ,a€[0,2π).

Answer by ikleyn(52909) About Me  (Show Source):
You can put this solution on YOUR website!
.
In short terms, using polar presentation form  z = (r,theta%29),


    z = (1,-a),


where the first argument in the parentheses is the modulus, equal to 1, while the second argument is the polar angle, equal to "-a".


Or, if you want to have the argument "-a" between 0 and 2pi, you may use 


    z = (1,2pi-a%29).


It is THE SAME point in a polar coordinate plane.