How do you express the complex number in rectangular form: #z=5(cos 120degrees + i sin 120 degrees)#?
1 Answer
Feb 18, 2016
#(-5/2 , 5/2sqrt3 )#
Explanation:
using the formulae that links Polar to Rectangular coordinates.
#• x = rcostheta #
#• y = rsintheta # here r = 5 and
#theta = 120^@ # hence :
# x = 5cos120^@ = 5 xx -1/2 = -5/2 # and
# y = 5sin120^@ = 5 xxsqrt3/2 = 5/2 sqrt3 #