SOLUTION: Plot the complex number, then write complex number in Polar form you may express the argument in degrees. 4-4(sqrt(3)i)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Plot the complex number, then write complex number in Polar form you may express the argument in degrees. 4-4(sqrt(3)i)      Log On


   

Question 621290: Plot the complex number, then write complex number in Polar form you may express the argument in degrees.
4-4(sqrt(3)i)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+4+-+4%2Asqrt%283%29%2Ai+
+4%2A%28+1+-+sqrt%283%29%2Ai+%29+
The angle is in the 4th quadrant and it is the
angle whose tan is +sqrt%283%29+, which is
minus 60 degrees. The length is +sqrt%28+1%5E2+%2B+%28sqrt%283%29%29%5E2+%29+
which is 2
+4%2A2+=+8+
In polar form:
+4+-+4%2Asqrt%283%29%2Ai+ = 8 @ -60 degrees