SOLUTION: Write the complex number in polar form with argument θ between 0 and 2π. −5+5(sqrt3)i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Write the complex number in polar form with argument θ between 0 and 2π. −5+5(sqrt3)i      Log On


   

Question 1009169: Write the complex number in polar form with argument θ between 0 and 2π.
−5+5(sqrt3)i
Answer by ikleyn(52747) About Me  (Show Source):
You can put this solution on YOUR website!
.
Write the complex number in polar form with argument theta between 0 and 2*pi.
-5+5(sqrt3)i
---------------- 
-5+%2B+5%2Asqrt%283%29%2Ai = 5.%28%28-1%29+%2B+sqrt%283%29%2Ai%29 = 10.%28%28-1%2F2%29+%2B+sqrt%283%29%2F2%2Ai%29 = 10*( cos(2pi%2F3) + i*sin(2pi%2F3) ).